A slice of cheese is cut a wheel of permesan, and the wedge approximates the shape of a rectangular pyramid. It's base is 4 cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese
To find the volume of the wedge-shaped cheese, we first need to calculate the volume of a rectangular pyramid, which is given by the formula:
Volume = (1/3) * Base Area * Height
First, let's calculate the base area of the wedge, which is a rectangle. The base area is given by the formula:
Base Area = length * width = 9 cm * 4 cm = 36 cm^2
Now, we can plug the base area and height into the formula for the volume of a rectangular pyramid:
Volume = (1/3) * 36 cm^2 * 21 cm
Volume = 252 cm^3
Therefore, the volume of the piece of cheese is 252 cubic centimeters.