A slice of cheese is cut from a wheel of parmesan, and 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?(1 point)
cm3
The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.
First, we need to calculate the area of the base, which is a rectangle:
Base area = length * width
Base area = 9 cm * 4 cm = 36 cm^2
Now, we can calculate the volume:
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 cm^3.