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?

A. 33.0
B. 11.0
C. 800
D. 266.7

1 answer

To find the volume of a rectangular pyramid, you need to use the formula:

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

First, calculate the area of the base:

Area = length * width
Area = 9 cm * 4 cm
Area = 36 cm^2

Now, substitute 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 approximately 252 cm^3.

The closest option is:
D. 266.7