Practice Volume in Math

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

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Quick Recap

The amount of three-dimensional space that an object occupies, measured in cubic units such as cm³.

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

Showing a random 20 of 50 problems.

Example 1

easy
A juice carton is 44 in ×4\times 4 in ×8\times 8 in. What is its volume in cubic inches?

Example 2

medium
A cylinder and cone have the same radius and height. The cylinder's volume is 30π30\pi. What's the cone's volume?

Example 3

challenge
Two cubes have volumes 88 and 2727. What is the ratio of their surface areas?

Example 4

hard
A cone has volume 48π48\pi cm3^3 and height 99 cm. Find its radius.

Example 5

easy
How many cubic centimeters in a 10×10×1010 \times 10 \times 10 cm cube?

Example 6

easy
Find the volume of a box (rectangular prism) with dimensions 2×3×42 \times 3 \times 4.

Example 7

medium
Find the volume of a cone with radius 44 and height 99. (In terms of π\pi.)

Example 8

medium
Find the volume of a cylinder with radius 33 cm and height 1010 cm. Leave your answer in terms of π\pi.

Example 9

medium
A cube has volume 2727. What is its surface area?

Example 10

easy
What units do we use for volume?

Example 11

medium
A swimming pool is 2525 m long, 1010 m wide, and 22 m deep. How many cubic meters of water does it hold?

Example 12

easy
If a cube's side doubles, what happens to its volume?

Example 13

medium
Find the volume of a sphere with radius 33 cm. Leave in terms of π\pi.

Example 14

medium
A cylindrical water tank has radius 33 m and height 55 m. Find its volume in cubic meters (leave answer in terms of π\pi).

Example 15

challenge
An ice cream cone has radius 33 cm and height 1212 cm, topped with a hemisphere of ice cream of radius 33 cm. The ice cream melts and fills the cone completely. Does it overflow?

Example 16

medium
Find the volume of a cone with radius 33 cm and height 77 cm. Leave in terms of π\pi.

Example 17

easy
A storage box is 1010 cm ×10\times 10 cm ×5\times 5 cm. Find its volume.

Example 18

hard
A rectangular prism of dimensions 6×4×36 \times 4 \times 3 has a cylindrical hole of radius 11 drilled through its longest dimension. Find the remaining volume in terms of π\pi.

Example 19

medium
A cube has volume 216216 cm3^3. Find the side length.

Example 20

easy
Find the volume of a box 1×1×11 \times 1 \times 1.
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