A rectangular prism has a base area of 25 in.² and a volume of 125 inches with a tiny three if a rectangular period has a congruent base and a height, congruent to a prism what is the height of the pyramid?

1 answer

First, we need to find the side length of the base of the prism. Since the base area is 25 in², the side length of the base is the square root of 25, which is 5 inches.

Next, we need to find the height of the prism. Since the volume of the prism is 125 in³ and the base area is 25 in², the height of the prism can be calculated by dividing the volume by the base area:

Height = Volume / Base Area
Height = 125 in³ / 25 in²
Height = 5 inches

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