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]

The volume of a rectangular prism is given by the formula: Volume = Base Area x Height

Given that the base area of the prism is 25 in^2 and the volume is 125 in^3, we can set up the equation:

125 = 25 x Height

Solving for Height:

Height = 125 / 25
Height = 5 inches

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