C. Volume of Right Pyramids and Right Cones

When the base and height of a right prism and a right pyramid are the same, the volume of the prism is three times the volume of the pyramid.

Investigation

The following video explores the relationship between the volume of a pyramid and the volume of a cube with the same base and height.

If you are unable to access the video, complete the following Alternate Investigation.

Alternate Investigation

Consider the right rectangular pyramid inside the right rectangular prism shown. Note that the base dimensions of the pyramid and the prism are the same and that the two objects also have the same height.