---
tag: 0698M7C7AX
kind: concept
name: Triple integral
aliases: [volume-integral]
msc: [26B15]
uses: [0WAR4F23B4, 0JPCHTXWG0]
sources:
  - url: https://en.wikipedia.org/wiki/Multiple_integral
    locator: Mathematical definition
---

## Summary

The triple integral of a function of three variables over a solid region is a limit of Riemann sums. These sums use partitions of the region into small boxes.
It extends the [[double integral|0WAR4F23B4]] to three dimensions, and it computes volumes, masses and centres of mass of solids.