A rectangular prism has a base area of 15 cm², and pyramid with congruent base and height has a volume of 20 cm³. What is the height of the rectangular prism?

Answer 1

Let's denote the height of the rectangular prism as h.

Given that the base area of the prism is 15 cm², we can write the formula for the volume of a rectangular prism as:

Volume = Base Area * Height
Volume = 15 cm² * h = 15h

Given that the volume of the pyramid with congruent base and height is 20 cm³, we can write the formula for the volume of a pyramid as:

Volume = (1/3) * Base Area * Height
20 cm³ = (1/3) * 15 cm² * h
20 = 5h
h = 4 cm

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