Question

A triangular pyramid has the same base and height as a triangular prism. The volume of the prism is 66 cubic inches. What is the volume of the triangular pyramid?

Answer 1

The volume of the triangular prism is 66 cubic inches. 
In order for us to know the volume of the triangular pyramid, first we need to know the ratio of the volume of triangular prism and the volume of the triangular pyramid.

Volume of the pyramid = 1/3 * volume of the prism.
Volume of the pyramid = 1 / 3 * 66
Volume of the pyramid = 22 cubic inches.

So the volume of the triangular pyramid is 22 cubic inches.