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How can you visualize volume as building layers
on top of a base?
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In this lesson you will learn how to determine the volume of a prism by analyzing layers
and counting cubes.
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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.
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Let’s ReviewCore Lesson
Volume is the number of cubic units needed to fill the space inside a three-
dimensional figure.
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Let’s ReviewCore Lesson
2 in
2 in
3 in
What is the volume?
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Let’s ReviewCore Lesson
2 in
2 in
3 in
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Let’s ReviewCore Lesson
1 in3 1 in3 1 in3
1 in3 1 in3 1 in3
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Let’s ReviewCore Lesson
6 in3
6 in3
12 in3
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Let’s ReviewCore Lesson
What if we re-orient this prism?
2 in
3 in
2 in
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Let’s ReviewCore Lesson
2 in
3 in
2 in
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Let’s ReviewCore Lesson
1 in3 1 in3
1 in3 1 in3
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Let’s ReviewCore Lesson
4 in3
4 in3
12 in3
4 in3
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In this lesson you have learned how to determine the volume of a prism by analyzing layers
and counting cubes.
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Let’s ReviewGuided Practice
3 in.
3 in.
3 in.
How many layers?
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Let’s ReviewGuided Practice
3 in.
3 in.
3 in.
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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?
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Let’s ReviewGuided Practice
3 in.
3 in.
3 in.
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Let’s ReviewGuided Practice
9 in3
9 in3
9 in3
27 in3
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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?
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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?
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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.