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 4 in ×4 in ×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 30π. What's the cone's volume?
Example 3
challenge
Two cubes have volumes 8 and 27. What is the ratio of their surface areas?
Example 4
hard
A cone has volume 48π cm3 and height 9 cm. Find its radius.Volume = 48π cm³. Find r.
Example 5
easy
How many cubic centimeters in a 10×10×10 cm cube?
Example 6
easy
Find the volume of a box (rectangular prism) with dimensions 2×3×4.Find the volume of this box.
Example 7
medium
Find the volume of a cone with radius 4 and height 9. (In terms of π.)Find the volume in terms of π.
Example 8
medium
Find the volume of a cylinder with radius 3 cm and height 10 cm. Leave your answer in terms of π.Find the volume in terms of π.
Example 9
medium
A cube has volume 27. What is its surface area?
Example 10
easy
What units do we use for volume?
Example 11
medium
A swimming pool is 25 m long, 10 m wide, and 2 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 3 cm. Leave in terms of π.Find the volume in terms of π.
Example 14
medium
A cylindrical water tank has radius 3 m and height 5 m. Find its volume in cubic meters (leave answer in terms of π).
Example 15
challenge
An ice cream cone has radius 3 cm and height 12 cm, topped with a hemisphere of ice cream of radius 3 cm. The ice cream melts and fills the cone completely. Does it overflow?
Example 16
medium
Find the volume of a cone with radius 3 cm and height 7 cm. Leave in terms of π.Find the volume in terms of π.
Example 17
easy
A storage box is 10 cm ×10 cm ×5 cm. Find its volume.
Example 18
hard
A rectangular prism of dimensions 6×4×3 has a cylindrical hole of radius 1 drilled through its longest dimension. Find the remaining volume in terms of π.