Connecting Volumes of Pyramids and Prisms Using Visual Models

Student Preview
Options Menu

ExplorationGRADES 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?

Text and math input

Open-ended question 2

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

Text and math input

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?

Text and math input

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?

Text and math input