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## Basic geometry and measurement

### Course: Basic geometry and measurement>Unit 6

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

## Want to join the conversation?

• It was a breeze who else agrees.
• well, its different for others. we are all at different levels. <3
• how do you find volume with cubes
• you take base one and mulitiply it by the number its beside. then multiply by the height
• What if the width is not given.
• You must know, or be able to figure out the length, width, and height of s shape in the units you are using in order to calculate the approximate Volume of a rectangular solid.
If the width is not given, and no way is provided to discover the width, the volume cannot be calculated.
• i multiplied but i got it wrong
• try checking your work before you press the check button
• There should be like a bell when you finish
• STAY HOME AND STAY SAFE and i also got some right and some wrong
• what if the height isn't given?
• If the height of a rectangular prism is not given, divide the prism's volume by it's width and also divide it by it's length in order to find the height of the prism. For example:
Volume=30
Length=5
Width=3
Height=?
30/5=6, 6/3=2 so 2 equals your height.
Hope that helps.