Practice Volume in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The amount of three-dimensional space that an object occupies, measured in cubic units such as cmยณ.

How many cubic centimetre blocks would it take to completely fill the inside of the object?

Example 1

easy
Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm.

Example 2

medium
Find the volume of a cylinder with radius 3 cm and height 10 cm. Leave your answer in terms of \pi.

Example 3

medium
A cylindrical water tank has radius 3 m and height 5 m. Find its volume in cubic meters (leave answer in terms of \pi).

Example 4

hard
A rectangular storage box is 8 cm long and 6 cm wide. If its volume is 336 cmยณ, find its height.

Example 5

medium
A cylinder has volume 200\pi cmยณ and height 8 cm. Find its radius.