To find the volume of the wedge of cheese, we use the formula for the volume of a rectangular pyramid:
Volume = (1/3) * base area * height
First, we calculate the area of the base of the wedge:
Base area = length * width
Base area = 9 cm * 4 cm
Base area = 36 cm^2
Now, we can substitute the values into the volume formula:
Volume = (1/3) * 36 cm^2 * 21 cm
Volume = 252 cm^3
Therefore, the volume of the piece of cheese is 252 cubic centimeters.
Question
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
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