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?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

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.