A rectangular pyramid has a volume of 480 cubed inches. If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?
To find the volume of the rectangular prism, we need to find the volume of the rectangular pyramid first.
The formula for the volume of a rectangular pyramid is given by:
Volume = (1/3) * base area * height
Given that the volume of the rectangular pyramid is 480 cubic inches, and the base and height of the prism are congruent to the pyramid, we have:
480 = (1/3) * base area * height
We can rewrite this equation as:
base area * height = 1440
Since the base and height of the prism are congruent to the pyramid, the base area and height of the prism are equal. Therefore, the volume of the prism is:
Volume = base area * height = 1440 cubic inches