How can you visualize volume as building layers on top of a base?

How can you visualize volume as building layers

on top of a base?

In this lesson you will learn how to determine the volume of a prism by analyzing layers

and counting cubes.

Let’s ReviewLet’s Review

1 plip

1 plip

“one cubic plip”

plip3

plip • plip • plip

1 plip

Each cubic units has edge lengths of 1 unit.

Let’s ReviewCore Lesson

Volume is the number of cubic units needed to fill the space inside a three-

dimensional figure.

Let’s ReviewCore Lesson

2 in

2 in

3 in

What is the volume?

Let’s ReviewCore Lesson

2 in

2 in

3 in

Let’s ReviewCore Lesson

1 in3 1 in3 1 in3

1 in3 1 in3 1 in3

Let’s ReviewCore Lesson

6 in3

6 in3

12 in3

Let’s ReviewCore Lesson

What if we re-orient this prism?

2 in

3 in

2 in

Let’s ReviewCore Lesson

2 in

3 in

2 in

Let’s ReviewCore Lesson

1 in3 1 in3

1 in3 1 in3

Let’s ReviewCore Lesson

4 in3

4 in3

12 in3

4 in3

In this lesson you have learned how to determine the volume of a prism by analyzing layers

and counting cubes.

Let’s ReviewGuided Practice

3 in.

3 in.

3 in.

How many layers?

Let’s ReviewGuided Practice

3 in.

3 in.

3 in.

Let’s ReviewGuided Practice

1 in3 1 in3 1 in3

1 in3 1 in3 1 in3

1 in3 1 in3 1 in3

How many cubic inches in one layer?

Let’s ReviewGuided Practice

3 in.

3 in.

3 in.

Let’s ReviewGuided Practice

9 in3

9 in3

9 in3

27 in3

Let’s ReviewExtension Activities

Billy is playing with blocks. He lays out a layer of blocks that is 8 blocks by 3 blocks. Then, he tells his mom that he plans to add on 4 more layers, just like that bottom layer.

What will the volume of Billy’s structure be, once he is finished adding layers?

Let’s ReviewExtension Activities

This tower is built of blocks that are one cubic foot, each. What is the volume of this tower, in cubic inches?

Let’s ReviewQuick Quiz

How many layers tall is the structure to the right? What is the volume of one layer?

What is the volume of the structure? Explain how you know.