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

too high

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

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

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

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

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

Problem 1

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