Volume of a rectangular prism is the amount of three-dimensional space it occupies, found by multiplying its length, width, and height: . The dimensions must be measured in consistent units, and the result is expressed in cubic units; the formula applies to cubes as a special case and may involve whole numbers, decimals, or fractions, without extending to more general solids or advanced algebraic treatments.
On this page:
The volume of a rectangular prism is the amount of space inside it. To find the volume, multiply its length, width, and height:
Make sure all three measurements use the same unit. The answer is written in cubic units because volume measures three dimensions.
Example: A rectangular prism is long, wide, and high. What is its volume?
Identify the dimensions:
Use the formula:
Substitute the measurements:
Multiply:
Write the answer with cubic units:
The volume of the rectangular prism is cubic centimeters.
Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill
Earned ?
Print this free 'Use the formula for rectangular-prism volume' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
These adaptive units introduce, teach, or reinforce this skill (Use the formula for rectangular-prism volume) through scaffolded problems that grow in difficulty as concepts are understood.