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? (1 point)
To find the volume of the wedge of cheese, we can use the formula for the volume of a pyramid: V = (1/3) * base area * height.
First, we need to find the area of the base of the wedge. The base is in the shape of a rectangle, so the area of the base is:
base area = length * width
base area = 9 cm * 4 cm
base area = 36 cm^2
Now we can plug the base area and height into the volume 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.