A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. Its base is 4 cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese?

Answer 1

To find the volume of the piece of cheese, we need to calculate the volume of the rectangular pyramid.

The formula for the volume of a rectangular pyramid is: V = (1/3) * base area * height

First, let's calculate the base area of the rectangular pyramid:
Base area = length * width
Base area = 9 cm * 4 cm
Base area = 36 cm^2

Now, substitute the base area and height into the formula:
V = (1/3) * 36 cm^2 * 21 cm
V = (1/3) * 756 cm^3
V = 252 cm^3

Therefore, the volume of the piece of cheese is 252 cubic centimeters.