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?(1 point)
To find the height of the rectangular prism, we first need to find the height 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 have:
20 = (1/3) * 15 * height
20 = 5 * height
height = 20 / 5
height = 4 cm
Now that we have found the height of the pyramid, we can use this height to find the height of the rectangular prism. Since the rectangular prism has the same base as the pyramid, the height of the rectangular prism is equal to the height of the pyramid.
Therefore, the height of the rectangular prism is 4 cm.