A slice of cheese is cut from a wheel of Parmesan in 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
The volume of a rectangular pyramid is given by the formula V = (1/3) * B * h, where B is the area of the base and h is the height of the pyramid.
In this case, the base is a rectangle with dimensions 4 cm and 9 cm, so the area of the base (B) is 4 cm * 9 cm = 36 cm^2. The height of the pyramid is 21 cm.
Therefore, the volume of the piece of cheese is V = (1/3) * 36 cm^2 * 21 cm = 252 cm^3.
So, the volume of the piece of cheese is 252 cubic centimeters.