A rectangular prism has a base area of 15 and a pyramid with a congruent base and height has a volume of 20 cm cubed what is the height of the rectangular prism

The volume of a rectangular prism is given by the formula V = base area * height.

Given that the base area of the rectangular prism is 15 and its height is h, we can set up the equation as 15h = V_rectangular prism.

Similarly, the volume of a pyramid is given by the formula V = (1/3) * base area * height.

Given that the base area of the pyramid is 15 and its height is also h, we can set up the equation as (1/3) * 15 * h = 20.

Solving for h in the second equation, we get h = 20 / (5) = 4 cm.

Therefore, the height of the rectangular prism is 4 cm.