A slice of cheese is cut from a wheel Parmesan and the wedge approximates the shape of the rectangular pyramid. It’s base is 4 cm wide and 9 cm long. The wedge is 21 cm tall. What is the value of the piece of cheese?

Answer 1

To find the volume of the wedge-shaped slice 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:
Base area = length * width
Base area = 9 cm * 4 cm
Base area = 36 square cm

Now, we can plug in the values into the volume formula:
V = (1/3) * 36 cm^2 * 21 cm
V = (1/3) * 756 cm^3
V = 252 cm^3

So, the volume of the wedge-shaped slice of cheese is 252 cubic cm.

Next, we need to find the value of the piece of cheese. This will depend on the price per cubic cm of Parmesan cheese. Let's say the price is $0.05 per cubic cm.

Value = Volume * Price per cm^3
Value = 252 cm^3 * $0.05/cm^3
Value = $12.60

Therefore, the value of the slice of cheese is $12.60.