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
To find the volume of the wedge-shaped piece of cheese, we can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
First, we need to find the area of the base of the pyramid:
Base area = length * width
Base area = 9 cm * 4 cm
Base area = 36 cm^2
Now, we can plug in the values for the base area and height into the formula to find the volume:
Volume = (1/3) * 36 cm^2 * 21 cm
Volume = (1/3) * 756 cm^3
Volume = 252 cm^3
Therefore, the volume of the wedge-shaped piece of cheese is 252 cm^3.