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?

1 answer

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.