# Carbone Volume: Intuitive Introduction

Topic:
Volume

## STUDENTS:

Interact with the applet below for a couple of minutes. Then answer the questions that follow.

## 1.

In the applet above, create a rectangular prism that has its first layer measuring 3 units long by 4 units wide. Suppose this rectangular prism is 2 layers high. How many cubes make up this prism?

## 2.

In the applet above, create a rectangular prism that has its first layer measuring 5 units long by 3 units wide. How many cubes make up this prism if this prism is 2 layers high? 3 layers high? 10 layers high?

## 3.

How can we EASILY determine the number of cubes that fit inside ANY rectangular prism? Describe.

## STUDENTS:

Now that you have discovered how to find the volume of a rectangular prism explore the applet below for a couple of minutes then answer the questions that follow.

## 4.

Based on your exploration of the applet above, what is the base shape of the rectangular prism?

## 5.

Based on your exploration of the applet above, what is the base shape of the triangular prism?

Select all that apply
• A
• B
• C
• D

## 6.

Explain how you know what the base of the triangular prism is.

## STUDENTS:

Predict what you think the base shape is in the shape shown in the applet below. Then answer the questions that follow.

## 7.

What is the base of the triangular prism above?

## 8.

How can you find the volume of ANY triangular prism?

## 9.

What is the GENERAL method to find the volume of ANY shape?