A rectangular prism has a base area of 25 in.2 and a volume of 125 in.3 if a rectangular pyramid has a congruent base and height congruent to the prism, what is the height of the pyramid?
___ in.
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Given that the volume of the prism is 125 in.3 and the base area is 25 in.2, we can calculate the height of the prism by rearranging the formula:
V = lwh
125 = 25h
h = 125 / 25
h = 5 in.
Since the rectangular pyramid has the same base area and height as the prism, the height of the pyramid is also 5 inches.