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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**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.**Each cubic units has edge lengths of 1 unit.**plip • plip • plip 1 plip plip3 “one cubic plip” 1 plip 1 plip**Volume is the number of cubic units needed to fill the space**inside a three-dimensional figure.**What is the volume?**2 in 2 in 3 in**2 in**2 in 3 in**1 in3**1 in3 1 in3 1 in3 1 in3 1 in3**6 in3**12 in3 6 in3**What if we re-orient this prism?**2 in 3 in 2 in**2 in**3 in 2 in**1 in3**1 in3 1 in3 1 in3**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.**3 in.**How many layers? 3 in. 3 in.**3 in.**3 in. 3 in.**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**3 in.**3 in. 3 in.**9 in3**9 in3 27 in3 9 in3**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?**This tower is built of blocks that are one cubic foot, each.**What is the volume of this tower, in cubic inches?**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.