Question

Question

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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height of the pyramid, we first need to determine the dimensions of the rectangular prism.

Given that the base area of the prism is 25 in^2 and the volume is 125 in^3, we can calculate the dimensions of the prism using the formula for the volume of a rectangular prism:

Volume = Base area * Height
125 = 25 * Height
Height = 125/25
Height = 5 inches

So, the rectangular prism has dimensions of 5 inches by 5 inches by 5 inches.

Since the rectangular pyramid has a congruent base and height to the prism, the height of the pyramid will also be 5 inches.