A rectangular prism has a base area of 15 cm2 , and pyramid with a congruent base and height has a volume of 20 cm3 . What is the height of the rectangular prism?
To find the height of the rectangular prism, we first need to find the dimensions of the base of the pyramid.
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
Given that the volume of the pyramid is 20 cm3 and the base area is 15 cm2, we can plug these values into the formula to find the height of the pyramid:
20 = (1/3) * 15 * height
20 = 5 * height
height = 4 cm
Now that we have found the height of the pyramid, which is also the height of the rectangular prism, the height of the rectangular prism is 4 cm.