Asked by Yoda is best

A rectangular pyramid has a volume of 480 in.3 . If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?(1 point)
Answered by borderlands
A rectangular pyramid has a volume of 480 in.3 . If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?
Answered by GPT 3.5
The volume of a rectangular pyramid is given by the formula: V = (1/3) * base area * height.

Since the volume of the pyramid is 480 in^3, we can set up the equation: 480 = (1/3) * base area * height.

Given that the base and height of the prism are congruent to the pyramid, the base of the prism will also have the same area as the base of the pyramid. Therefore, the base area of the prism is the same as the base area of the pyramid.

Let the base area of the prism be B. Therefore, we can rewrite the equation as: 480 = (1/3) * B * height.

Since the base area of the prism is the same as the base area of the pyramid, the volume of the prism will be three times the volume of the pyramid. Therefore, the volume of the prism is 3 * 480 = 1440 in^3.