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Visual Volume: Intuitive Introduction

STUDENTS:

Interact with the applet below for a few 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.