A rectangular prism has a base area of 25 inches squared and a volume of 125 cubed inches. If a rectangular pyramid has a congruent base and height congruent to the prism, what is the height of the pyramid?

1 answer

Given that the volume of the rectangular prism is 125 cubic inches and its base area is 25 square inches, the height of the prism is equal to:

\[ \text{height of prism} = \frac{\text{volume of prism}}{\text{base area of prism}} = \frac{125}{25} = 5 \text{ inches} \]

Since the rectangular pyramid has a congruent base and height congruent to the prism, the height of the pyramid is also 5 inches.