A rectangular prism has a base of 25 in and a volume of 125 in If a rectangular pyramid has a congruent base and height congruent to the prism what is the height of the pyramid
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 of the prism.
Given that the volume of the prism is 125 in³ and the base of the prism is 25 in, we can find the height of the prism:
125 = 25 * w * h
5 = w * h
Since the base of the prism is a square (25 in), the width and length are the same, so w = l = 25 in. Therefore, we have:
5 = 25 * 25 * h
5 = 625h
h = 5 / 625
h = 0.008 in
The height of the rectangular prism is 0.008 in.
Since the pyramid has a congruent base and height to the prism, the height of the pyramid is also 0.008 in.