# 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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