A slice of cheese is cut from a wheel of parmesan, and the wedge approcimates 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 peice of cheese?
First, we need to find the volume of the rectangular pyramid.
The formula for the volume of a rectangular pyramid is:
V = (1/3) * base area * height
First, we need to find the base area of the rectangular pyramid:
Base area = length * width
Base area = 9 cm * 4 cm
Base area = 36 cm^2
Now, we can plug in the values into the formula for the volume of the rectangular pyramid:
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.