Connecting Volumes of Pyramids and Prisms Using Visual Models

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Exploration

GR. 6-8

Skill:

Use models to investigate the relationship of the volume of a cone to a cylinder and a pyramid to a prism with the same base and height.

Connecting Volumes of Pyramids and Prisms Using Visual Models

Discover the relationship between the volume of pyramids and volume of prisms in this activity.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

As you change the base and height, what remains the same between the prism and the pyramid?

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Open-ended question 2

As you change the base and height, what becomes different between the prism and pyramid?

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Open-ended question 3

When you have a pyramid and prism with the same base and height, what is the quotient when you divide the volume of the pyramid by the volume of the prism?

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Open-ended question 4

True or False: Three pyramids would fit evenly into a prism of the same base and height. Why or why not?

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