a slice of cheese is cut from a parmesan wheel, 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?
To find the volume of the wedge, we need to use the formula for the volume of a rectangular pyramid:
V = (1/3) * base area * height
First, we need to find the area of the base of the wedge:
Base area = 4 cm * 9 cm = 36 cm²
Now, we can plug these values into the formula:
V = (1/3) * 36 cm² * 21 cm
V = (1/3) * 756 cm³
V = 252 cm³
Therefore, the volume of the slice of cheese is 252 cubic centimeters.