A slice of cheese is cut from a wheel of Parmesan and the wedge is approximately the shape of a rectangular pyramid. Base is 4cm wide and 9cm long. The wedge is 21cm tall. What is the volume of the piece of cheese?
To find the volume of the piece of cheese, we first need to find the volume of a rectangular pyramid, which is given by the formula:
V = (1/3) * base area * height
In this case, the base area is 4cm * 9cm = 36cm^2 and the height is 21cm. Plugging these values into the formula, we get:
V = (1/3) * 36cm^2 * 21cm
V = (1/3) * 756cm^3
V = 252cm^3
Therefore, the volume of the piece of cheese is 252 cubic centimeters.