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.
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?
2 answers
Answer: 4 cm