A slice of cheese is cut from a wheel of parietal and the we edge approximate the shape of a rectangular Pyramid. Its base is 4cm wide and 9 cm long. The wedge is 21 cm tall. What is the volume of the piece of cheese?

Answer 1

The volume of a pyramid can be calculated using the formula V = (1/3)BH, where B is the area of the base and H is the height.

In this case, the base of the wedge is a rectangle with width 4 cm and length 9 cm, so its area is:

B = 4 cm x 9 cm = 36 cm^2

The height of the wedge is given as 21 cm.

Using the formula for the volume of a pyramid, we have:

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

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