A slice of cheese is cut from a wheel or Parmesan on and the wedge approximate 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

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) * b * h

Where:
V = volume
b = base area
h = height

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

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

Now, we can plug the values into the volume formula:

V = (1/3) * 36 cm^2 * 21 cm
V = (1/3) * 756 cm^3
V = 252 cm^3

Therefore, the volume of the wedge of cheese is 252 cubic centimeters.