If a rectangular prism has a base area of 25 in and a volume of 125 in and the rectangular pyramid has a congruent base and height congruent to the prism what is the height of the pyramid
First, let's find the dimensions of the rectangular prism:
Base area = length * width = 25 in
Volume = length * width * height = 125 in
Since the base area is 25 in, we know that the length and width of the prism are both 5 in.
Now, we can find the height of the prism:
Volume = 125 in
125 = 5 * 5 * height
125 = 25 * height
height = 5 in
Since the base and height of the pyramid are congruent to the prism, the height of the pyramid is also 5 in.