# Lesson 4 Use Layers to Determine Volume

Let’s relate multiplication to how we use layers to find volume.

## Warm-up Estimation Exploration: How Many Cubes?

About how many cubes were used to build this prism?

Record an estimate that is:

too low | about right | too high |
---|---|---|

## Activity 1 Layers in Rectangular Prisms

## Problem 1

Complete the table. Be prepared to explain your reasoning.

prism | number of cubes in one layer | number of layers | volume |
---|---|---|---|

A | |||

B | |||

C | |||

D |

## Problem 2

Find the volume of each prism. Explain or show your reasoning.

## Problem 3

How can you find the volume of any rectangular prism?

## Activity 2 Finding Volume in Different Ways

Explain or show how the expression

represents the volume of this rectangular prism. Explain or show how the expression

represents the volume of this rectangular prism. Find a different way to calculate the volume of this rectangular prism. Explain or show your thinking.

Write an expression to represent the way you calculated the volume.

## Practice Problem

## Problem 1

Find the volume of each rectangular prism. Explain or show your reasoning.