A rectangular prism has a base area of 25 in.2
and a volume of 125 in.3
. If a rectangular pyramid has a congruent base and height congruent to the prism, what is the height of the pyramid?(1 point)
in.
To find the height of the pyramid, we first need to determine the dimensions of the base of the prism.
Since the volume of a rectangular prism is given by the formula V = base area x height, we can solve for the height of the prism by dividing the volume by the base area:
125 in.3 / 25 in.2 = 5 in.
Therefore, the height of the prism is 5 inches.
Since the base of the pyramid is congruent to the base of the prism, and the height of the pyramid is also congruent to the height of the prism, the height of the pyramid is also 5 inches.