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?
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.