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 cmยณ.

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 ร—4\times 4 in ร—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 30ฯ€30\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 48ฯ€48\pi cm3^3 and height 99 cm. Find its radius.

Example 5

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

Example 6

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

Example 7

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

Example 8

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

Example 17

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

Example 18

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

Example 19

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

Example 20

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