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Lesson 4: Volume word problems

# Volume of rectangular prisms review

Review the basics of volume and try some practice problems.

## What is volume?

Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.
For example, the rectangular prism below has a volume of $18$ cubic units because it is made up of $18$ unit cubes.

## Finding volume of a rectangular prism

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
$\text{Volume of rectangular prism}=$ $\text{length}×\text{width}×\text{height}$

### Example 1:

$\text{Volume}=\text{length}×\text{width}×\text{height}$
$\phantom{\text{Volume}}=3×2×3$

### Example 2:

$\text{Volume}=\text{length}×\text{width}×\text{height}$
$\phantom{\text{Volume}}=6×5×7$

## Practice set 1: Finding volume by multiplying

Problem 1A
What is the volume of the rectangular prism?
${\text{cm}}^{3}$

Want to try more problems like this? Check out this exercise: Volume 1

## Practice set 2: Finding volume with unit cubes

Problem 2A
Unit cube:
What is the volume of the rectangular prism?
unit cubes

Want to try more problems like this? Check out these exercises:
Volume with unit cubes 1
Volume formula intuition

## Practice set 3: Challenge items

Problem 3A
The figure below is made up of $2$ rectangular prisms.
What is the volume of this figure?
$\text{cubic cm}$

Want to try more problems like this? Check out these exercises:
Decompose figures to find volume
Volume word problems