A rectangular prism has the base area of 25 inches and a volume of 125 in if a rectangular pyramid has a congruent base and height the congruent to the prism what is the height of the pyramid?

The volume of a rectangular prism is given by V = length x width x height. Since the base area of the prism is 25 square inches and the volume is 125 cubic inches, we can find the height of the prism by dividing the volume by the base area:

125 = 25 x height
height = 5 inches

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