A rectangular pyramid has a volume of 17 inches cubed. If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?
To find the volume of the rectangular prism, we need to find the base area first.
Let the base area of the pyramid be x.
Since the volume of a pyramid is (1/3) * base area * height, we have:
(1/3) * x * 3 = 17
x = 17
Therefore, the base area of the pyramid is 17 square inches.
Since the base area of the rectangular prism is congruent to the base area of the pyramid and the height of the prism is also the same as the height of the pyramid, the volume of the prism is given by:
Volume = base area * height
Volume = 17 * 3
Volume = 51 inches cubed
Therefore, the volume of the rectangular prism is 51 inches cubed.