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Unit 1 - Lesson 4 - Grade 5: Illustrative Mathematics

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Grade 5 Unit 1
Lesson 4: Use Layers to Determine Volume
CC BY 2021 Illustrative Mathematics
Grade 5 Unit 1
Lesson 4: Use Layers to Determine Volume
CC BY 2021 Illustrative Mathematics
Lesson: Use Layers to Determine Volume

Estimation Exploration: How Many Cubes? (Warm Up)



About how many cubes were used to build this prism?

Record an estimate that is:

Layers in Rectangular Prisms

Complete the table. Be prepared to explain your reasoning.+

Find the volume of each prism. Explain or show your reasoning.

Prism E


Prism F

How can you find the volume of any rectangular prism?

Finding Volume in Different Ways

Explain or show how the expression 5 x 24 represents the volume of this rectangular prism.

Explain or show how the expression 6 x 20 represents the volume of this rectangular prism.

Find a different way to calculate the volume of this rectangular prism. Explain or show your thinking.

Write an expression to represent the way you calculated the volume.

Cooldown: Use Expressions

If the rectangular prism was filled completely, how many cubes could it hold?

Explain or show how the expression represents the volume of the prism.