Connecting Volumes of Pyramids and Prisms Using Visual Models

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

Aufgabe 1

Putting It All Together

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

Aufgabe 2

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

Aufgabe 3

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

Aufgabe 4

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?

Aufgabe 5

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