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?

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

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1. In this lesson you will learn how to determine the volume of a prism by analyzing layers and counting cubes.

2. Each cubic units has edge lengths of 1 unit. plip • plip • plip 1 plip plip3 “one cubic plip” 1 plip 1 plip

3. Volume is the number of cubic units needed to fill the space inside a three-dimensional figure.

4. What is the volume? 2 in 2 in 3 in

5. 2 in 2 in 3 in

6. 1 in3 1 in3 1 in3 1 in3 1 in3 1 in3

7. 6 in3 12 in3 6 in3

8. What if we re-orient this prism? 2 in 3 in 2 in

9. 2 in 3 in 2 in

10. 1 in3 1 in3 1 in3 1 in3

11. 4 in3 4 in3 12 in3 4 in3

12. In this lesson you have learned how to determine the volume of a prism by analyzing layers and counting cubes.

13. 3 in. How many layers? 3 in. 3 in.

14. 3 in. 3 in. 3 in.

15. How many cubic inches in one layer? 1 in3 1 in3 1 in3 1 in3 1 in3 1 in3 1 in3 1 in3 1 in3

16. 3 in. 3 in. 3 in.

17. 9 in3 9 in3 27 in3 9 in3

18. 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?

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

20. 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.