<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019d455a-1868-7e90-8e99-954368bb927d,g:8b3bb1a8-a73a-4587-8b13-4bb7a6c621a3-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="https://xbrl.org/2023/arcrole/summation-item" xlink:type="simple" xlink:href="https://www.xbrl.org/2023/calculation-1.1.xsd#summation-item"/>
  <link:roleRef roleURI="http://www.backblaze.com/role/CONDENSEDCONSOLIDATEDBALANCESHEETS" xlink:type="simple" xlink:href="blze-20260331.xsd#CONDENSEDCONSOLIDATEDBALANCESHEETS"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/CONDENSEDCONSOLIDATEDBALANCESHEETS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_019d455a-19dc-715e-9fe0-b96ef1336698" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent_019d455a-19dc-71a6-8cc9-951238764885" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019d455a-19dc-715e-9fe0-b96ef1336698" xlink:to="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent_019d455a-19dc-71a6-8cc9-951238764885" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndLeaseFinancingObligationCurrent_019d455a-19dc-74bf-b39c-42bfa2fe16c2" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndLeaseFinancingObligationCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019d455a-19dc-715e-9fe0-b96ef1336698" xlink:to="loc_blze_FinanceLeaseLiabilityAndLeaseFinancingObligationCurrent_019d455a-19dc-74bf-b39c-42bfa2fe16c2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_019d455a-19dc-77cb-a2e4-e859e2219610" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019d455a-19dc-715e-9fe0-b96ef1336698" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_019d455a-19dc-77cb-a2e4-e859e2219610" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiabilityCurrent_019d455a-19dc-7578-9536-8ee0f02ee284" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractWithCustomerLiabilityCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_019d455a-19dc-715e-9fe0-b96ef1336698" xlink:to="loc_us-gaap_ContractWithCustomerLiabilityCurrent_019d455a-19dc-7578-9536-8ee0f02ee284" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019d455a-19dc-7ed5-ba3d-ff50b8826405" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_019d455a-19dc-7f89-980d-013cd702e989" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019d455a-19dc-7ed5-ba3d-ff50b8826405" xlink:to="loc_us-gaap_CommonStockValue_019d455a-19dc-7f89-980d-013cd702e989" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_019d455a-19dc-77ec-98d7-8ec9c8ced05e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019d455a-19dc-7ed5-ba3d-ff50b8826405" xlink:to="loc_us-gaap_PreferredStockValue_019d455a-19dc-77ec-98d7-8ec9c8ced05e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_019d455a-19dc-72e6-b395-4e385241ab46" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019d455a-19dc-7ed5-ba3d-ff50b8826405" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_019d455a-19dc-72e6-b395-4e385241ab46" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_019d455a-19dc-7687-9f88-9af08d0d4537" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019d455a-19dc-7ed5-ba3d-ff50b8826405" xlink:to="loc_us-gaap_AdditionalPaidInCapital_019d455a-19dc-7687-9f88-9af08d0d4537" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TreasuryStockCommonValue_019d455a-19dc-734f-9413-92175191288f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TreasuryStockCommonValue"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_019d455a-19dc-7ed5-ba3d-ff50b8826405" xlink:to="loc_us-gaap_TreasuryStockCommonValue_019d455a-19dc-734f-9413-92175191288f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_019d455a-19dc-70fc-a303-4404841611fb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_019d455a-19dc-79b1-a368-cbbd779834ae" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019d455a-19dc-70fc-a303-4404841611fb" xlink:to="loc_us-gaap_AssetsCurrent_019d455a-19dc-79b1-a368-cbbd779834ae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_019d455a-19dc-7082-9663-561457e86d91" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019d455a-19dc-70fc-a303-4404841611fb" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_019d455a-19dc-7082-9663-561457e86d91" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_019d455a-19dc-7edb-acfd-4371a20afc0f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019d455a-19dc-70fc-a303-4404841611fb" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_019d455a-19dc-7edb-acfd-4371a20afc0f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalizedComputerSoftwareNet_019d455a-19dc-7d69-bff2-56088cc9f373" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalizedComputerSoftwareNet"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019d455a-19dc-70fc-a303-4404841611fb" xlink:to="loc_us-gaap_CapitalizedComputerSoftwareNet_019d455a-19dc-7d69-bff2-56088cc9f373" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_019d455a-19dc-7fb5-a1b4-6f743f4c282e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAssetsNoncurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_019d455a-19dc-70fc-a303-4404841611fb" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_019d455a-19dc-7fb5-a1b4-6f743f4c282e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_019d455a-19dc-732c-8aa1-dccb9889aa64" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_019d455a-19dc-75ae-8d43-8efaa7fb8196" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019d455a-19dc-732c-8aa1-dccb9889aa64" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_019d455a-19dc-75ae-8d43-8efaa7fb8196" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketableSecuritiesCurrent_019d455a-19dc-72dc-8aef-f9b243b971ff" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MarketableSecuritiesCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019d455a-19dc-732c-8aa1-dccb9889aa64" xlink:to="loc_us-gaap_MarketableSecuritiesCurrent_019d455a-19dc-72dc-8aef-f9b243b971ff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_019d455a-19dc-74d9-9660-501b164189a6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019d455a-19dc-732c-8aa1-dccb9889aa64" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_019d455a-19dc-74d9-9660-501b164189a6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseCurrent_019d455a-19dc-7f18-9adb-b01ce12270e6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidExpenseCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019d455a-19dc-732c-8aa1-dccb9889aa64" xlink:to="loc_us-gaap_PrepaidExpenseCurrent_019d455a-19dc-7f18-9adb-b01ce12270e6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsCurrent_019d455a-19dc-768b-8296-80bc5c8eff6f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAssetsCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_019d455a-19dc-732c-8aa1-dccb9889aa64" xlink:to="loc_us-gaap_OtherAssetsCurrent_019d455a-19dc-768b-8296-80bc5c8eff6f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_019d455a-19dc-742a-9180-7aa66dbd4481" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_019d455a-19dc-73ec-8691-a048028c6c0b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019d455a-19dc-742a-9180-7aa66dbd4481" xlink:to="loc_us-gaap_CommitmentsAndContingencies_019d455a-19dc-73ec-8691-a048028c6c0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_019d455a-19dc-796a-aedc-68dd42ed25ad" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019d455a-19dc-742a-9180-7aa66dbd4481" xlink:to="loc_us-gaap_StockholdersEquity_019d455a-19dc-796a-aedc-68dd42ed25ad" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_019d455a-19dc-7957-abb7-6da1e64bcec5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_019d455a-19dc-742a-9180-7aa66dbd4481" xlink:to="loc_us-gaap_Liabilities_019d455a-19dc-7957-abb7-6da1e64bcec5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_019d455a-19dc-7628-83f1-3209da816f28" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_019d455a-19dc-7ac2-af5d-803b77950a4b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019d455a-19dc-7628-83f1-3209da816f28" xlink:to="loc_us-gaap_LiabilitiesCurrent_019d455a-19dc-7ac2-af5d-803b77950a4b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndLeaseFinancingObligationNoncurrent_019d455a-19dc-7755-8fdc-b8421aaec11c" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndLeaseFinancingObligationNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019d455a-19dc-7628-83f1-3209da816f28" xlink:to="loc_blze_FinanceLeaseLiabilityAndLeaseFinancingObligationNoncurrent_019d455a-19dc-7755-8fdc-b8421aaec11c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_019d455a-19dc-7565-9ba3-6cbdaa98dd2c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019d455a-19dc-7628-83f1-3209da816f28" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_019d455a-19dc-7565-9ba3-6cbdaa98dd2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_ContractWithCustomerLiabilityAndOtherRevenueNoncurrent_019d455a-19dc-7027-8da4-ff730a06e9fa" xlink:href="blze-20260331.xsd#blze_ContractWithCustomerLiabilityAndOtherRevenueNoncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_019d455a-19dc-7628-83f1-3209da816f28" xlink:to="loc_blze_ContractWithCustomerLiabilityAndOtherRevenueNoncurrent_019d455a-19dc-7027-8da4-ff730a06e9fa" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVELOSS" xlink:type="simple" xlink:href="blze-20260331.xsd#CONDENSEDCONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVELOSS"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVELOSS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_019d455a-19dc-7850-85a5-cce4d9e0c171" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ResearchAndDevelopmentExpense_019d455a-19dc-7236-bf5a-a2d3cba532a6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ResearchAndDevelopmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_019d455a-19dc-7850-85a5-cce4d9e0c171" xlink:to="loc_us-gaap_ResearchAndDevelopmentExpense_019d455a-19dc-7236-bf5a-a2d3cba532a6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense_019d455a-19dc-7db0-ac8e-b90ea1fcb81f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralAndAdministrativeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_019d455a-19dc-7850-85a5-cce4d9e0c171" xlink:to="loc_us-gaap_GeneralAndAdministrativeExpense_019d455a-19dc-7db0-ac8e-b90ea1fcb81f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingAndMarketingExpense_019d455a-19dc-7252-93a6-2045a28c2056" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SellingAndMarketingExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_019d455a-19dc-7850-85a5-cce4d9e0c171" xlink:to="loc_us-gaap_SellingAndMarketingExpense_019d455a-19dc-7252-93a6-2045a28c2056" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019d455a-19dc-7019-92da-c14721f0e77b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019d455a-19dc-7911-a4b4-fa8fe27a805e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_019d455a-19dc-7019-92da-c14721f0e77b" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019d455a-19dc-7911-a4b4-fa8fe27a805e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_019d455a-19dc-70d8-af42-951c6fa31579" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_019d455a-19dc-7019-92da-c14721f0e77b" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_019d455a-19dc-70d8-af42-951c6fa31579" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_019d455a-19dc-734b-b4eb-f8ec74ce51f3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_019d455a-19dc-70eb-a117-fa650fe057d4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GrossProfit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_019d455a-19dc-734b-b4eb-f8ec74ce51f3" xlink:to="loc_us-gaap_GrossProfit_019d455a-19dc-70eb-a117-fa650fe057d4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_019d455a-19dc-7cf0-9f05-91eba710c4a8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_019d455a-19dc-734b-b4eb-f8ec74ce51f3" xlink:to="loc_us-gaap_OperatingExpenses_019d455a-19dc-7cf0-9f05-91eba710c4a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_019d455a-19dc-7e52-9e77-d9ed571b9e67" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GrossProfit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019d455a-19dc-7870-bb9f-419bb89b5832" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_019d455a-19dc-7e52-9e77-d9ed571b9e67" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_019d455a-19dc-7870-bb9f-419bb89b5832" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfRevenue_019d455a-19dc-7021-9c2f-08543ff29d0e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CostOfRevenue"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_GrossProfit_019d455a-19dc-7e52-9e77-d9ed571b9e67" xlink:to="loc_us-gaap_CostOfRevenue_019d455a-19dc-7021-9c2f-08543ff29d0e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019d455a-19dc-79cd-be15-97d468db9234" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_019d455a-19dc-704a-aa0c-e340003c3705" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019d455a-19dc-79cd-be15-97d468db9234" xlink:to="loc_us-gaap_OperatingIncomeLoss_019d455a-19dc-704a-aa0c-e340003c3705" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInterest_019d455a-19dc-7e15-9cd3-1791ccfa43e2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInterest"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019d455a-19dc-79cd-be15-97d468db9234" xlink:to="loc_us-gaap_InvestmentIncomeInterest_019d455a-19dc-7e15-9cd3-1791ccfa43e2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseNonoperating_019d455a-19dc-7863-bf1f-2e254bf5430a" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseNonoperating"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019d455a-19dc-79cd-be15-97d468db9234" xlink:to="loc_us-gaap_InterestExpenseNonoperating_019d455a-19dc-7863-bf1f-2e254bf5430a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_019d6c7a-f306-76ee-a433-bf99e2a75678" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019d455a-19dc-79cd-be15-97d468db9234" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_019d6c7a-f306-76ee-a433-bf99e2a75678" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="simple" xlink:href="blze-20260331.xsd#CONDENSEDCONSOLIDATEDSTATEMENTSOFCASHFLOWS"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/CONDENSEDCONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_019d455a-19dc-728f-9f4a-df4e511fb1bb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_NetIncomeLoss_019d455a-19dc-728f-9f4a-df4e511fb1bb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_019d455a-19dc-7e25-bad1-4c659f56869e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_019d455a-19dc-7e25-bad1-4c659f56869e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortization_019d455a-19dc-746d-beba-99572ac728d9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DepreciationDepletionAndAmortization"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_DepreciationDepletionAndAmortization_019d455a-19dc-746d-beba-99572ac728d9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_019d455a-19dc-7ed4-bfd3-19c705fbd2fe" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_ShareBasedCompensation_019d455a-19dc-7ed4-bfd3-19c705fbd2fe" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_019d455a-19dc-7c20-8ff0-4afa5def1c10" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainLossOnSaleOfPropertyPlantEquipment"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_GainLossOnSaleOfPropertyPlantEquipment_019d455a-19dc-7c20-8ff0-4afa5def1c10" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement_019d455a-19dc-7992-87e8-34ba4272c290" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherOperatingActivitiesCashFlowStatement"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement_019d455a-19dc-7992-87e8-34ba4272c290" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_019d455a-19dc-7fd1-abe6-0b32e6309545" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_019d455a-19dc-7fd1-abe6-0b32e6309545" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_019d455a-19dc-7df1-881b-3e77afc12ea2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:calculationArc order="8" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_019d455a-19dc-7df1-881b-3e77afc12ea2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_019d455a-19dc-7ab2-bdaa-747c46af3d2d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_019d455a-19dc-7ab2-bdaa-747c46af3d2d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_019d455a-19dc-7dc6-a1b8-c0a9b948b6e3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_019d455a-19dc-7dc6-a1b8-c0a9b948b6e3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_019d455a-19dc-79d9-9e40-f038a2be19e9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInContractWithCustomerLiability"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_IncreaseDecreaseInContractWithCustomerLiability_019d455a-19dc-79d9-9e40-f038a2be19e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_019d455a-19dc-736c-88a6-763d32707adb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOperatingLeaseLiability"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-7c2e-b8fa-bf0de1866e84" xlink:to="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_019d455a-19dc-736c-88a6-763d32707adb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019d455a-19dc-7062-aeb9-99622f23cac3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-71b8-862d-3a304780b766" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019d455a-19dc-7062-aeb9-99622f23cac3" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_019d455a-19dc-71b8-862d-3a304780b766" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7b44-9c1a-0a2e053fa6c4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019d455a-19dc-7062-aeb9-99622f23cac3" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7b44-9c1a-0a2e053fa6c4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-72ba-b3d0-7a117bc71cde" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019d455a-19dc-7062-aeb9-99622f23cac3" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-72ba-b3d0-7a117bc71cde" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7998-a828-f9abc86feb77" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireMarketableSecurities_019d455a-19dc-7e2b-8973-2ff4fd408c5c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquireMarketableSecurities"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7998-a828-f9abc86feb77" xlink:to="loc_us-gaap_PaymentsToAcquireMarketableSecurities_019d455a-19dc-7e2b-8973-2ff4fd408c5c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleAndMaturityOfMarketableSecurities_019d455a-19dc-73e6-b67b-48649a421480" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromSaleAndMaturityOfMarketableSecurities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7998-a828-f9abc86feb77" xlink:to="loc_us-gaap_ProceedsFromSaleAndMaturityOfMarketableSecurities_019d455a-19dc-73e6-b67b-48649a421480" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_019d455a-19dc-7e56-9406-f32bbb444cee" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7998-a828-f9abc86feb77" xlink:to="loc_us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment_019d455a-19dc-7e56-9406-f32bbb444cee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_019d455a-19dc-76f4-a4a7-d2dee03960a7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7998-a828-f9abc86feb77" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_019d455a-19dc-76f4-a4a7-d2dee03960a7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForSoftware_019d455a-19dc-71f3-bf9b-f71b56d12dc1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForSoftware"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_019d455a-19dc-7998-a828-f9abc86feb77" xlink:to="loc_us-gaap_PaymentsForSoftware_019d455a-19dc-71f3-bf9b-f71b56d12dc1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_PrincipalPaymentsOnCapitalLeaseAndLeaseFinancingObligations_019d455a-19dc-7143-a7fe-bda8728e4c63" xlink:href="blze-20260331.xsd#blze_PrincipalPaymentsOnCapitalLeaseAndLeaseFinancingObligations"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:to="loc_blze_PrincipalPaymentsOnCapitalLeaseAndLeaseFinancingObligations_019d455a-19dc-7143-a7fe-bda8728e4c63" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfStockIssuanceCosts_019d455a-19dc-74a2-84bb-50ce8c4c071b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfStockIssuanceCosts"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:to="loc_us-gaap_PaymentsOfStockIssuanceCosts_019d455a-19dc-74a2-84bb-50ce8c4c071b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts_019d455a-19dc-786c-9ec8-d4a7c6f52ba9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:to="loc_us-gaap_PaymentsOfDebtIssuanceCosts_019d455a-19dc-786c-9ec8-d4a7c6f52ba9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_019d455a-19dc-7812-9eba-986d5ac210b5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:to="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_019d455a-19dc-7812-9eba-986d5ac210b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromStockOptionsExercised_019d455a-19dc-7783-b629-408bf71d08ff" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromStockOptionsExercised"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:to="loc_us-gaap_ProceedsFromStockOptionsExercised_019d455a-19dc-7783-b629-408bf71d08ff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation_019d455a-19dc-7268-989f-4eeb1aec9036" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:to="loc_us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation_019d455a-19dc-7268-989f-4eeb1aec9036" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_019d9710-8753-7398-8826-b1bf7a92ef18" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromPaymentsForOtherFinancingActivities"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_019d455a-19dc-7320-a853-0e50998c5669" xlink:to="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_019d9710-8753-7398-8826-b1bf7a92ef18" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/MarketableSecuritiesScheduleofFairValuesandGrossUnrealizedGainsandLossesonInvestmentsDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#MarketableSecuritiesScheduleofFairValuesandGrossUnrealizedGainsandLossesonInvestmentsDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/MarketableSecuritiesScheduleofFairValuesandGrossUnrealizedGainsandLossesonInvestmentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_019d455a-19dc-798f-8d64-21a05082efae" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_CashAndCashEquivalentsGrossUnrealizedGains_019d455a-19dc-7b43-8c7f-ac503f58f322" xlink:href="blze-20260331.xsd#blze_CashAndCashEquivalentsGrossUnrealizedGains"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_019d455a-19dc-798f-8d64-21a05082efae" xlink:to="loc_blze_CashAndCashEquivalentsGrossUnrealizedGains_019d455a-19dc-7b43-8c7f-ac503f58f322" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_CashAndCashEquivalentsGrossUnrealizedLosses_019d455a-19dc-75d3-b0fa-55b085462798" xlink:href="blze-20260331.xsd#blze_CashAndCashEquivalentsGrossUnrealizedLosses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_019d455a-19dc-798f-8d64-21a05082efae" xlink:to="loc_blze_CashAndCashEquivalentsGrossUnrealizedLosses_019d455a-19dc-75d3-b0fa-55b085462798" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure_019d455a-19dc-7baf-8874-e6f2d50bcf19" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_019d455a-19dc-798f-8d64-21a05082efae" xlink:to="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure_019d455a-19dc-7baf-8874-e6f2d50bcf19" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/MarketableSecuritiesScheduleofScheduledMaturitiesDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#MarketableSecuritiesScheduleofScheduledMaturitiesDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/MarketableSecuritiesScheduleofScheduledMaturitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019d455a-19dc-7f25-a2ae-90ff28c913c6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount_019d455a-19dc-7f5a-9d5a-000ed8caf2f5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019d455a-19dc-7f25-a2ae-90ff28c913c6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount_019d455a-19dc-7f5a-9d5a-000ed8caf2f5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount_019d455a-19dc-7526-b3cd-3a9d93a08bac" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019d455a-19dc-7f25-a2ae-90ff28c913c6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount_019d455a-19dc-7526-b3cd-3a9d93a08bac" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount_019d455a-19dc-7873-8e62-2a2e95b0d0f4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019d455a-19dc-7f25-a2ae-90ff28c913c6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount_019d455a-19dc-7873-8e62-2a2e95b0d0f4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount_019d455a-19dc-7193-a11d-15c28cc9b609" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_019d455a-19dc-7f25-a2ae-90ff28c913c6" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount_019d455a-19dc-7193-a11d-15c28cc9b609" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019d455a-19dc-7271-99cf-94fb50264399" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019d455a-19dc-7597-8e1a-7ad875cde974" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019d455a-19dc-7271-99cf-94fb50264399" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_019d455a-19dc-7597-8e1a-7ad875cde974" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_019d455a-19dc-708c-a11b-263094c49aac" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019d455a-19dc-7271-99cf-94fb50264399" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue_019d455a-19dc-708c-a11b-263094c49aac" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue_019d455a-19dc-7533-a838-583c1a0758ce" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019d455a-19dc-7271-99cf-94fb50264399" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue_019d455a-19dc-7533-a838-583c1a0758ce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount_019d455a-19dc-7201-8aea-3a96ef133538" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019d455a-19dc-7271-99cf-94fb50264399" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount_019d455a-19dc-7201-8aea-3a96ef133538" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/FairValueMeasurementsScheduleofHeldToMaturityInvestmentsDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#FairValueMeasurementsScheduleofHeldToMaturityInvestmentsDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/FairValueMeasurementsScheduleofHeldToMaturityInvestmentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosure_019d455a-19dc-7940-87c3-9c6c744d8e5d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsFairValueDisclosure"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019d455a-19dc-7f60-8c05-ad3c996de4f6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HeldToMaturitySecuritiesFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_019d455a-19dc-7940-87c3-9c6c744d8e5d" xlink:to="loc_us-gaap_HeldToMaturitySecuritiesFairValue_019d455a-19dc-7f60-8c05-ad3c996de4f6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure_019d455a-19dc-73c2-8ce9-af17fa21f2fa" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_019d455a-19dc-7940-87c3-9c6c744d8e5d" xlink:to="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure_019d455a-19dc-73c2-8ce9-af17fa21f2fa" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/PropertyandEquipmentNetScheduleofPropertyandEquipmentNetDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#PropertyandEquipmentNetScheduleofPropertyandEquipmentNetDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/PropertyandEquipmentNetScheduleofPropertyandEquipmentNetDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_019d455a-19dc-7dad-ac86-53d807751e6e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_019d455a-19dc-745e-94b6-ce3dc5f5ed86" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_019d455a-19dc-7dad-ac86-53d807751e6e" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_019d455a-19dc-745e-94b6-ce3dc5f5ed86" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseRightOfUseAssetBeforeAccumulatedAmortization_019d455a-19dc-7093-bf62-bd19290ddf15" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseRightOfUseAssetBeforeAccumulatedAmortization"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_019d455a-19dc-7dad-ac86-53d807751e6e" xlink:to="loc_us-gaap_FinanceLeaseRightOfUseAssetBeforeAccumulatedAmortization_019d455a-19dc-7093-bf62-bd19290ddf15" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_019d455a-19dc-71ba-87fc-9707200c4320" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_019d455a-19dc-7039-bbc2-82d3afa217ff" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_019d455a-19dc-71ba-87fc-9707200c4320" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetBeforeAccumulatedDepreciationAndAmortization_019d455a-19dc-7039-bbc2-82d3afa217ff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAccumulatedDepreciationAndAmortization_019d455a-19dc-7fd5-ad37-4b7d69d1956b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAccumulatedDepreciationAndAmortization"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAfterAccumulatedDepreciationAndAmortization_019d455a-19dc-71ba-87fc-9707200c4320" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentAndFinanceLeaseRightOfUseAssetAccumulatedDepreciationAndAmortization_019d455a-19dc-7fd5-ad37-4b7d69d1956b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/CapitalizedInternalUseSoftwareNetScheduleofCapitalizedInternalUseSoftwareDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#CapitalizedInternalUseSoftwareNetScheduleofCapitalizedInternalUseSoftwareDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/CapitalizedInternalUseSoftwareNetScheduleofCapitalizedInternalUseSoftwareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalizedComputerSoftwareNet_019d455a-19dc-78c0-9ba0-2718ea687884" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalizedComputerSoftwareNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalizedComputerSoftwareAccumulatedAmortization_019d455a-19dc-75b3-a1c7-98b0992fbdda" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalizedComputerSoftwareAccumulatedAmortization"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CapitalizedComputerSoftwareNet_019d455a-19dc-78c0-9ba0-2718ea687884" xlink:to="loc_us-gaap_CapitalizedComputerSoftwareAccumulatedAmortization_019d455a-19dc-75b3-a1c7-98b0992fbdda" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalizedComputerSoftwareGross_019d455a-19dc-76ca-b4fb-73f77d28cdc4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalizedComputerSoftwareGross"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CapitalizedComputerSoftwareNet_019d455a-19dc-78c0-9ba0-2718ea687884" xlink:to="loc_us-gaap_CapitalizedComputerSoftwareGross_019d455a-19dc-76ca-b4fb-73f77d28cdc4" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/CapitalizedInternalUseSoftwareNetScheduleofFutureAmortizationExpenseDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#CapitalizedInternalUseSoftwareNetScheduleofFutureAmortizationExpenseDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/CapitalizedInternalUseSoftwareNetScheduleofFutureAmortizationExpenseDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsNet_019d455a-19dc-7166-8759-57c4b2e49490" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearFour_019d455a-19dc-786c-9c40-9dab342bf575" xlink:href="blze-20260331.xsd#blze_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearFour"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_019d455a-19dc-7166-8759-57c4b2e49490" xlink:to="loc_blze_FiniteLivedIntangibleAssetExpectedAmortizationAfterYearFour_019d455a-19dc-786c-9c40-9dab342bf575" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_019d455a-19dc-7ea6-98ec-8d331dd81a95" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_019d455a-19dc-7166-8759-57c4b2e49490" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_019d455a-19dc-7ea6-98ec-8d331dd81a95" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_019d455a-19dc-7857-ae0e-ff5f0a9cd5a4" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_019d455a-19dc-7166-8759-57c4b2e49490" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree_019d455a-19dc-7857-ae0e-ff5f0a9cd5a4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_019d455a-19dc-72e5-afab-492511a2e381" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_019d455a-19dc-7166-8759-57c4b2e49490" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_019d455a-19dc-72e5-afab-492511a2e381" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_019d455a-19dc-7ee5-93fb-a7968fd35880" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_019d455a-19dc-7166-8759-57c4b2e49490" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_019d455a-19dc-7ee5-93fb-a7968fd35880" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_019d455a-19dc-7294-9d45-40f0d311d8b2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FiniteLivedIntangibleAssetsNet_019d455a-19dc-7166-8759-57c4b2e49490" xlink:to="loc_us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_019d455a-19dc-7294-9d45-40f0d311d8b2" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/LeasesScheduleofOperatingLeaseInformationDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#LeasesScheduleofOperatingLeaseInformationDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/LeasesScheduleofOperatingLeaseInformationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseCost_019d455a-19dc-7077-9ddf-62b24ddf11ee" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseCost"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseExpense_019d455a-19dc-72f9-a786-3b750f4fcb92" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseCost_019d455a-19dc-7077-9ddf-62b24ddf11ee" xlink:to="loc_us-gaap_OperatingLeaseExpense_019d455a-19dc-72f9-a786-3b750f4fcb92" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableLeaseCost_019d455a-19dc-7f6d-9cfd-ea30e2ad4d25" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_VariableLeaseCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingLeaseCost_019d455a-19dc-7077-9ddf-62b24ddf11ee" xlink:to="loc_us-gaap_VariableLeaseCost_019d455a-19dc-7f6d-9cfd-ea30e2ad4d25" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumCommitmentsforFinanceLeasesandLeaseFinancingObligationsDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#LeasesScheduleofFutureMinimumCommitmentsforFinanceLeasesandLeaseFinancingObligationsDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumCommitmentsforFinanceLeasesandLeaseFinancingObligationsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearThree_019d455a-19dd-778e-bad6-2661810882fb" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearThree"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinThreeYears1_019d455a-19dd-75be-a9a0-06486e321f46" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinThreeYears1"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearThree_019d455a-19dd-778e-bad6-2661810882fb" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinThreeYears1_019d455a-19dd-75be-a9a0-06486e321f46" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-7a68-944d-c903892882d2" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearThree_019d455a-19dd-778e-bad6-2661810882fb" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-7a68-944d-c903892882d2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactions_019d455a-19dd-72a5-bacc-fda41caa57c6" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactions"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactions1_019dd067-1808-7e9d-b7e9-be7b82c53e9a" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactions1"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactions_019d455a-19dd-72a5-bacc-fda41caa57c6" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactions1_019dd067-1808-7e9d-b7e9-be7b82c53e9a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiability_019d455a-19dd-7850-852e-1f28ad1ec6af" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiability"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactions_019d455a-19dd-72a5-bacc-fda41caa57c6" xlink:to="loc_us-gaap_FinanceLeaseLiability_019d455a-19dd-7850-852e-1f28ad1ec6af" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-73a7-b650-739466b1804a" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactions_019d455a-19dd-7d63-a1d8-9e9dedf2ebe4" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactions"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-73a7-b650-739466b1804a" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactions_019d455a-19dd-7d63-a1d8-9e9dedf2ebe4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019d455a-19dd-793b-8614-3422fe459294" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-73a7-b650-739466b1804a" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019d455a-19dd-793b-8614-3422fe459294" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour_019dc069-32d5-7721-9866-f0c95b4cea57" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityToBePaidAfterYearFour_019dc069-32d5-72d3-9201-8cdab5c263c0" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityToBePaidAfterYearFour"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour_019dc069-32d5-7721-9866-f0c95b4cea57" xlink:to="loc_blze_FinanceLeaseLiabilityToBePaidAfterYearFour_019dc069-32d5-72d3-9201-8cdab5c263c0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour1_019dc069-32d5-74e6-9f01-dfb38e2d99c9" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour_019dc069-32d5-7721-9866-f0c95b4cea57" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour1_019dc069-32d5-74e6-9f01-dfb38e2d99c9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear_019d455a-19dd-72e0-8334-42c8567d0268" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-7616-9cb1-27c20973011c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear_019d455a-19dd-72e0-8334-42c8567d0268" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-7616-9cb1-27c20973011c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear1_019d455a-19dd-7275-8e69-3f1c424a981b" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear_019d455a-19dd-72e0-8334-42c8567d0268" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear1_019d455a-19dd-7275-8e69-3f1c424a981b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearTwo_019d455a-19dd-744b-bac0-f8656918044a" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearTwo"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7f46-90f7-b0f63586ef20" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearTwo_019d455a-19dd-744b-bac0-f8656918044a" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7f46-90f7-b0f63586ef20" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinTwoYears1_019d455a-19dd-7633-a862-c3c003c6a404" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinTwoYears1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearTwo_019d455a-19dd-744b-bac0-f8656918044a" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinTwoYears1_019d455a-19dd-7633-a862-c3c003c6a404" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearOne_019d455a-19dd-793a-a263-b0111ca6dc76" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearOne"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinOneYear1_019dd6e1-5db6-77a8-bbeb-9c6a98058a2f" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinOneYear1"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearOne_019d455a-19dd-793a-a263-b0111ca6dc76" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinOneYear1_019dd6e1-5db6-77a8-bbeb-9c6a98058a2f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-7ee5-b647-f931137fba5d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearOne_019d455a-19dd-793a-a263-b0111ca6dc76" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-7ee5-b647-f931137fba5d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearFour_019d455a-19dd-7f29-9a55-966d7c5399e4" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearFour"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-70cf-9ca6-58905e640c42" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearFour_019d455a-19dd-7f29-9a55-966d7c5399e4" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-70cf-9ca6-58905e640c42" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinFourYears1_019d455a-19dd-783b-84e9-abc66eb69037" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinFourYears1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearFour_019d455a-19dd-7f29-9a55-966d7c5399e4" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinFourYears1_019d455a-19dd-783b-84e9-abc66eb69037" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7580-9338-64dee877fb51" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019ddc01-6f3d-79b9-bbd1-7d622dae73c1" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7580-9338-64dee877fb51" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019ddc01-6f3d-79b9-bbd1-7d622dae73c1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactions1_019dd6df-8576-739a-b6eb-6884326566ec" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactions1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7580-9338-64dee877fb51" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactions1_019dd6df-8576-739a-b6eb-6884326566ec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7aa7-b109-5870675eb13c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-7636-b363-02dc2d9993e7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7aa7-b109-5870675eb13c" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-7636-b363-02dc2d9993e7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-7e70-81c5-7a591b549430" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7aa7-b109-5870675eb13c" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-7e70-81c5-7a591b549430" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7cf8-8217-e2d400844325" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7aa7-b109-5870675eb13c" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7cf8-8217-e2d400844325" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-7585-91b0-cf66abcb3e37" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7aa7-b109-5870675eb13c" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-7585-91b0-cf66abcb3e37" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-7762-9f46-22ff78208863" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7aa7-b109-5870675eb13c" xlink:to="loc_us-gaap_FinanceLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-7762-9f46-22ff78208863" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityToBePaidAfterYearFour_019dc069-4c57-73d3-a998-e7bf7ec01fc3" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityToBePaidAfterYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7aa7-b109-5870675eb13c" xlink:to="loc_blze_FinanceLeaseLiabilityToBePaidAfterYearFour_019dc069-4c57-73d3-a998-e7bf7ec01fc3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019d455a-19dd-7492-8177-69cb806a0ab8" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount_019d455a-19dd-7f25-b74a-8df0ce82e4c7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019d455a-19dd-7492-8177-69cb806a0ab8" xlink:to="loc_us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount_019d455a-19dd-7f25-b74a-8df0ce82e4c7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019d455a-19dd-721a-9cfd-8c5d35173e15" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019d455a-19dd-7492-8177-69cb806a0ab8" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsUndiscountedExcessAmount_019d455a-19dd-721a-9cfd-8c5d35173e15" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumCommitmentsforFinanceLeasesandLeaseFinancingObligationsDetails_1" xlink:type="simple" xlink:href="blze-20260331.xsd#LeasesScheduleofFutureMinimumCommitmentsforFinanceLeasesandLeaseFinancingObligationsDetails_1"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumCommitmentsforFinanceLeasesandLeaseFinancingObligationsDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7ce4-9c98-8352196fb701" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear_019d455a-19dd-714a-8376-b544363b24fb" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7ce4-9c98-8352196fb701" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear_019d455a-19dd-714a-8376-b544363b24fb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearOne_019d455a-19dd-742f-8621-65335ed4427d" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearOne"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7ce4-9c98-8352196fb701" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearOne_019d455a-19dd-742f-8621-65335ed4427d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearTwo_019d455a-19dd-7e1f-9050-84b2c001572d" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7ce4-9c98-8352196fb701" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearTwo_019d455a-19dd-7e1f-9050-84b2c001572d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearThree_019d455a-19dd-7e62-96a6-05faa3efe86c" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearThree"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7ce4-9c98-8352196fb701" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearThree_019d455a-19dd-7e62-96a6-05faa3efe86c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearFour_019d455a-19dd-7976-a456-7ee9a2bbf33c" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7ce4-9c98-8352196fb701" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsYearFour_019d455a-19dd-7976-a456-7ee9a2bbf33c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour_019dc069-7481-7f06-8574-463325aaf44e" xlink:href="blze-20260331.xsd#blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-7ce4-9c98-8352196fb701" xlink:to="loc_blze_FinanceLeaseLiabilityAndMinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour_019dc069-7481-7f06-8574-463325aaf44e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7910-8392-e0617e0f6829" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount_019d455a-19dd-7294-a970-8ef5f027e291" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7910-8392-e0617e0f6829" xlink:to="loc_us-gaap_FinanceLeaseLiabilityUndiscountedExcessAmount_019d455a-19dd-7294-a970-8ef5f027e291" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseLiability_019d455a-19dd-774e-ad5a-30cef8a80a3e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseLiability"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_FinanceLeaseLiabilityPaymentsDue_019d455a-19dd-7910-8392-e0617e0f6829" xlink:to="loc_us-gaap_FinanceLeaseLiability_019d455a-19dd-774e-ad5a-30cef8a80a3e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-77ec-ae8f-9cd5b2ff74fa" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear1_019d455a-19dd-733e-8b9a-148b7e7def31" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear1"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-77ec-ae8f-9cd5b2ff74fa" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsRemainderOfFiscalYear1_019d455a-19dd-733e-8b9a-148b7e7def31" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinOneYear1_019d455a-19dd-7122-815e-71e505d953db" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinOneYear1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-77ec-ae8f-9cd5b2ff74fa" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinOneYear1_019d455a-19dd-7122-815e-71e505d953db" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinTwoYears1_019d455a-19dd-7c21-b4fa-20090972b07b" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinTwoYears1"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-77ec-ae8f-9cd5b2ff74fa" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinTwoYears1_019d455a-19dd-7c21-b4fa-20090972b07b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinThreeYears1_019d455a-19dd-7b9e-b8b1-c680e1ad6d7a" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinThreeYears1"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-77ec-ae8f-9cd5b2ff74fa" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinThreeYears1_019d455a-19dd-7b9e-b8b1-c680e1ad6d7a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinFourYears1_019dc069-5f53-7b16-993b-67a6062ab48d" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinFourYears1"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-77ec-ae8f-9cd5b2ff74fa" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsWithinFourYears1_019dc069-5f53-7b16-993b-67a6062ab48d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour1_019dc069-5f53-7342-9481-20ebf8ab41ce" xlink:href="blze-20260331.xsd#blze_MinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour1"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsPaymentDue_019d455a-19dd-77ec-ae8f-9cd5b2ff74fa" xlink:to="loc_blze_MinimumLeasePaymentsSaleLeasebackTransactionsAfterYearFour1_019dc069-5f53-7342-9481-20ebf8ab41ce" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumObligationsForOperatingLeasesAndNonLeaseComponentsDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#LeasesScheduleofFutureMinimumObligationsForOperatingLeasesAndNonLeaseComponentsDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumObligationsForOperatingLeasesAndNonLeaseComponentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-79b8-a698-17e00564910e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_019d455a-19dd-7df3-8cd4-85caf559b847" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-79b8-a698-17e00564910e" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_019d455a-19dd-7df3-8cd4-85caf559b847" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_019d455a-19dd-7747-a455-cb7943cac59b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-79b8-a698-17e00564910e" xlink:to="loc_us-gaap_OperatingLeaseLiability_019d455a-19dd-7747-a455-cb7943cac59b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInSecondYear_019d455a-19dd-7169-8053-6cb35f86c7f6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInSecondYear"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7ea3-9b54-d689c1cb0255" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInSecondYear_019d455a-19dd-7169-8053-6cb35f86c7f6" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7ea3-9b54-d689c1cb0255" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInSecondYear_019d455a-19dd-7d84-8387-9375d965dce9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInSecondYear"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInSecondYear_019d455a-19dd-7169-8053-6cb35f86c7f6" xlink:to="loc_us-gaap_OtherCommitmentDueInSecondYear_019d455a-19dd-7d84-8387-9375d965dce9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligation_019d455a-19dd-7c84-99bd-ab56dc3798f8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligation"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationFutureMinimumPaymentsDueRemainderOfFiscalYear_019d455a-19dd-71e1-a5dc-b2b970d213b5" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationFutureMinimumPaymentsDueRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7c84-99bd-ab56dc3798f8" xlink:to="loc_us-gaap_ContractualObligationFutureMinimumPaymentsDueRemainderOfFiscalYear_019d455a-19dd-71e1-a5dc-b2b970d213b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInNextTwelveMonths_019d455a-19dd-7269-b0a1-df3934c5b1a1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7c84-99bd-ab56dc3798f8" xlink:to="loc_us-gaap_ContractualObligationDueInNextTwelveMonths_019d455a-19dd-7269-b0a1-df3934c5b1a1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInSecondYear_019d455a-19dd-7e61-a7bd-d3cc4029487b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInSecondYear"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7c84-99bd-ab56dc3798f8" xlink:to="loc_us-gaap_ContractualObligationDueInSecondYear_019d455a-19dd-7e61-a7bd-d3cc4029487b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInThirdYear_019d455a-19dd-703e-8048-ed06ca45f420" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInThirdYear"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7c84-99bd-ab56dc3798f8" xlink:to="loc_us-gaap_ContractualObligationDueInThirdYear_019d455a-19dd-703e-8048-ed06ca45f420" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInFourthYear_019d455a-19dd-72b0-b5b1-7cea57466a1d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInFourthYear"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7c84-99bd-ab56dc3798f8" xlink:to="loc_us-gaap_ContractualObligationDueInFourthYear_019d455a-19dd-72b0-b5b1-7cea57466a1d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_ContractualObligationToBePaidAfterYearFour_019d455a-19dd-7372-bfbb-8c91a60e5998" xlink:href="blze-20260331.xsd#blze_ContractualObligationToBePaidAfterYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7c84-99bd-ab56dc3798f8" xlink:to="loc_blze_ContractualObligationToBePaidAfterYearFour_019d455a-19dd-7372-bfbb-8c91a60e5998" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInThirdYear_019d455a-19dd-7c76-a006-21640c8bc659" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInThirdYear"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-76bf-8128-ff4b56174d41" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInThirdYear_019d455a-19dd-7c76-a006-21640c8bc659" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-76bf-8128-ff4b56174d41" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInThirdYear_019d455a-19dd-74a6-8bc7-99a9b97b88e8" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInThirdYear"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInThirdYear_019d455a-19dd-7c76-a006-21640c8bc659" xlink:to="loc_us-gaap_OtherCommitmentDueInThirdYear_019d455a-19dd-74a6-8bc7-99a9b97b88e8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInFourthYear_019d455a-19dd-78e1-8036-dc47840e305e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInFourthYear"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-7e3c-8bb6-fa532360bc4c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInFourthYear_019d455a-19dd-78e1-8036-dc47840e305e" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-7e3c-8bb6-fa532360bc4c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInFourthYear_019d455a-19dd-7faa-8d94-30899a8a90f6" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInFourthYear"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInFourthYear_019d455a-19dd-78e1-8036-dc47840e305e" xlink:to="loc_us-gaap_OtherCommitmentDueInFourthYear_019d455a-19dd-7faa-8d94-30899a8a90f6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInNextTwelveMonths_019d455a-19dd-7260-9256-71c920961f50" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationDueInNextTwelveMonths"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-7ddf-9773-a302210f8b4c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInNextTwelveMonths_019d455a-19dd-7260-9256-71c920961f50" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-7ddf-9773-a302210f8b4c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInNextTwelveMonths_019d455a-19dd-77a0-a463-6d7c16a8a86e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationDueInNextTwelveMonths_019d455a-19dd-7260-9256-71c920961f50" xlink:to="loc_us-gaap_OtherCommitmentDueInNextTwelveMonths_019d455a-19dd-77a0-a463-6d7c16a8a86e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_ContractualObligationToBePaidAfterYearFour_019d455a-19dd-78a4-ab44-275d600df9e9" xlink:href="blze-20260331.xsd#blze_ContractualObligationToBePaidAfterYearFour"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_019d455a-19dd-75b4-9aa3-2fe11305610b" xlink:href="blze-20260331.xsd#blze_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_ContractualObligationToBePaidAfterYearFour_019d455a-19dd-78a4-ab44-275d600df9e9" xlink:to="loc_blze_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_019d455a-19dd-75b4-9aa3-2fe11305610b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_OtherCommitmentToBePaidAfterYearFour_019d455a-19dd-7ce4-a18c-e8795ee1b602" xlink:href="blze-20260331.xsd#blze_OtherCommitmentToBePaidAfterYearFour"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_blze_ContractualObligationToBePaidAfterYearFour_019d455a-19dd-78a4-ab44-275d600df9e9" xlink:to="loc_blze_OtherCommitmentToBePaidAfterYearFour_019d455a-19dd-7ce4-a18c-e8795ee1b602" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitment_019d455a-19dd-726d-8fa5-c910b68b6d39" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear_019d455a-19dd-736f-867b-0fc688f306db" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019d455a-19dd-726d-8fa5-c910b68b6d39" xlink:to="loc_us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear_019d455a-19dd-736f-867b-0fc688f306db" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInNextTwelveMonths_019d455a-19dd-7f5f-93ae-bbbd00b5155f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019d455a-19dd-726d-8fa5-c910b68b6d39" xlink:to="loc_us-gaap_OtherCommitmentDueInNextTwelveMonths_019d455a-19dd-7f5f-93ae-bbbd00b5155f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInSecondYear_019d455a-19dd-74c6-a0ea-b94df11ec132" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInSecondYear"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019d455a-19dd-726d-8fa5-c910b68b6d39" xlink:to="loc_us-gaap_OtherCommitmentDueInSecondYear_019d455a-19dd-74c6-a0ea-b94df11ec132" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInThirdYear_019d455a-19dd-734c-863b-a2961d17c426" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInThirdYear"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019d455a-19dd-726d-8fa5-c910b68b6d39" xlink:to="loc_us-gaap_OtherCommitmentDueInThirdYear_019d455a-19dd-734c-863b-a2961d17c426" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentDueInFourthYear_019d455a-19dd-7f23-aaaf-51683607e603" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentDueInFourthYear"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019d455a-19dd-726d-8fa5-c910b68b6d39" xlink:to="loc_us-gaap_OtherCommitmentDueInFourthYear_019d455a-19dd-7f23-aaaf-51683607e603" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_OtherCommitmentToBePaidAfterYearFour_019d455a-19dd-711d-80b2-13d9436cdfc3" xlink:href="blze-20260331.xsd#blze_OtherCommitmentToBePaidAfterYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherCommitment_019d455a-19dd-726d-8fa5-c910b68b6d39" xlink:to="loc_blze_OtherCommitmentToBePaidAfterYearFour_019d455a-19dd-711d-80b2-13d9436cdfc3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationFutureMinimumPaymentsDueRemainderOfFiscalYear_019d455a-19dd-701a-adb3-02ca8f1a0f56" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligationFutureMinimumPaymentsDueRemainderOfFiscalYear"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-764d-9b70-a3d7f9ef1e9f" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationFutureMinimumPaymentsDueRemainderOfFiscalYear_019d455a-19dd-701a-adb3-02ca8f1a0f56" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-764d-9b70-a3d7f9ef1e9f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear_019d455a-19dd-71d6-aae2-75c5a2ecd29c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligationFutureMinimumPaymentsDueRemainderOfFiscalYear_019d455a-19dd-701a-adb3-02ca8f1a0f56" xlink:to="loc_us-gaap_OtherCommitmentsFutureMinimumPaymentsRemainderOfFiscalYear_019d455a-19dd-71d6-aae2-75c5a2ecd29c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumObligationsForOperatingLeasesAndNonLeaseComponentsDetails_1" xlink:type="simple" xlink:href="blze-20260331.xsd#LeasesScheduleofFutureMinimumObligationsForOperatingLeasesAndNonLeaseComponentsDetails_1"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/LeasesScheduleofFutureMinimumObligationsForOperatingLeasesAndNonLeaseComponentsDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligation_019d455a-19dd-7cb6-9893-7a5a168bb8ae" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContractualObligation"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7cdc-9f79-db910942ef33" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7cb6-9893-7a5a168bb8ae" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7cdc-9f79-db910942ef33" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitment_019d455a-19dd-7a27-abbd-aa2597c0eaa7" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherCommitment"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_019d455a-19dd-7cb6-9893-7a5a168bb8ae" xlink:to="loc_us-gaap_OtherCommitment_019d455a-19dd-7a27-abbd-aa2597c0eaa7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7869-af3d-909ddd7ee52c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-7bd8-aa1e-580aba18e2de" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7869-af3d-909ddd7ee52c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_019d455a-19dd-7bd8-aa1e-580aba18e2de" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-79f0-8a91-8ba6b39f6ba3" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7869-af3d-909ddd7ee52c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_019d455a-19dd-79f0-8a91-8ba6b39f6ba3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7516-8d4c-c9223cf5347b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7869-af3d-909ddd7ee52c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_019d455a-19dd-7516-8d4c-c9223cf5347b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-7ac4-b35c-40b86426cd6b" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7869-af3d-909ddd7ee52c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_019d455a-19dd-7ac4-b35c-40b86426cd6b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-7e16-b963-52d4180ed34d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7869-af3d-909ddd7ee52c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_019d455a-19dd-7e16-b963-52d4180ed34d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_blze_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_019d455a-19dd-7f3a-a82d-2b5806d39712" xlink:href="blze-20260331.xsd#blze_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_019d455a-19dd-7869-af3d-909ddd7ee52c" xlink:to="loc_blze_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_019d455a-19dd-7f3a-a82d-2b5806d39712" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.backblaze.com/role/RestructuringScheduleofRestructuringCostsDetails" xlink:type="simple" xlink:href="blze-20260331.xsd#RestructuringScheduleofRestructuringCostsDetails"/>
  <link:calculationLink xlink:role="http://www.backblaze.com/role/RestructuringScheduleofRestructuringCostsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestructuringCosts_019d6889-810b-7ca0-9943-5370a404923d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestructuringCosts"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeveranceCosts1_019d6889-810b-799f-b9cf-439d925b01bb" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SeveranceCosts1"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_RestructuringCosts_019d6889-810b-7ca0-9943-5370a404923d" xlink:to="loc_us-gaap_SeveranceCosts1_019d6889-810b-799f-b9cf-439d925b01bb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinanceLeaseImpairmentLoss_019d6889-810b-75d2-a211-cc4a8c1d1c35" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinanceLeaseImpairmentLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_RestructuringCosts_019d6889-810b-7ca0-9943-5370a404923d" xlink:to="loc_us-gaap_FinanceLeaseImpairmentLoss_019d6889-810b-75d2-a211-cc4a8c1d1c35" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherRestructuringCosts_019d6889-810b-7ce0-8b0f-6057cf01aeb9" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherRestructuringCosts"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_RestructuringCosts_019d6889-810b-7ca0-9943-5370a404923d" xlink:to="loc_us-gaap_OtherRestructuringCosts_019d6889-810b-7ce0-8b0f-6057cf01aeb9" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
