There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 in ^3. What is the volume of the prism?
Since the prism and pyramid have congruent bases and height, their volumes are in a ratio of 1:3.
Therefore, if the volume of the pyramid is 48 in^3, the volume of the prism would be 3 times that of the pyramid, so:
Volume of prism = 3 * Volume of pyramid
Volume of prism = 3 * 48 in^3
Volume of prism = 144 in^3
Therefore, the volume of the prism is 144 in^3.