A slice of cheese is cut from a wheel of parmesan, and the wedge of approximates the shape of a rectangle 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 pyramid is given by the formula V = (1/3) * base area * height.
First, we need to find the area of the base of the wedge, which is a rectangle with dimensions 4 cm by 9 cm.
Base area = 4 cm * 9 cm = 36 cm^2
Now, we can calculate the volume of the wedge:
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.