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)
To find the volume of the wedge, we can 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, which is a rectangle with width of 4 cm and length of 9 cm:
Base area = width * length
Base area = 4 cm * 9 cm
Base area = 36 cm^2
Now, we can plug in the values into the formula:
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.