A rectangular prism has a base area of 15 cm, and a congruent pyramid has a volume of 20 cm. What is the height of the rectangular prism?
Let's assume the length, width, and height of the rectangular prism are l, w, and h, respectively.
We know that the base area of the rectangular prism is lw = 15 cm².
We also know that the pyramid has the same base as the rectangular prism, so the base area of the pyramid is also 15 cm².
The volume of the pyramid is 20 cm³, so we can use the formula for the volume of a pyramid to find its height:
V = 1/3 * base area * height
20 = 1/3 * 15 * h
60 = 15 * h
h = 4 cm
Therefore, the height of the rectangular prism is also 4 cm.