A rectangular pyramid has a volume of 250 in(to the 3rd power). If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?
Since the volume of a pyramid is given by the formula V = (1/3) * base area * height, we can find the base area by multiplying the volume of the pyramid by 3 and dividing by the height of the pyramid:
Base area = 3 * 250 / 10 = 75 in^2
Since the base and height of the prism are congruent to the pyramid, the volume of the prism is given by the formula V = base area * height:
V = 75 * 10 = 750 in^3
Therefore, the volume of the rectangular prism is 750 cubic inches.