Question

There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 cubed inches, what is the volume of the prism?

Answer 1

Since the pyramid and prism have congruent bases and height, we know that their volumes are in a 1:3 ratio (since the volume of a pyramid is 1/3 the volume of a prism with the same base and height).

Therefore, if the volume of the pyramid is 48 cubic inches, then the volume of the prism would be 3 times that amount:

48 * 3 = 144

Therefore, the volume of the prism is 144 cubic inches.