A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. Its base

To find the volume of the wedge, we can use the formula for the volume of a rectangular pyramid:

V = (1/3) * base area * height

First, we need to find the area of the base of the wedge, which is a rectangle with width of 4 cm and length of 9 cm:

Base area = width * length
Base area = 4 cm * 9 cm
Base area = 36 cm^2

Now, we can plug in the values 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.