A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of a rectangular pyramid. Its base is 5 cm wide and 8 cm long. The wedge is 20 cm tall. What is the volume of the piece of cheese. If needed, round to the nearest tenth. A. 33.0 Β. 11.0 C. 800 D. 266.7

1 answer

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

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

First, we need to find the base area of the wedge:

Base area = length * width
Base area = 8 cm * 5 cm
Base area = 40 cm^2

Now, we can plug in the values we have into the formula for the volume:

V = (1/3) * 40 cm^2 * 20 cm
V = (1/3) * 800 cm^3
V = 266.7 cm^3

Therefore, the volume of the piece of cheese is approximately 266.7 cm^3, so the answer is D. 266.7.