A slice of Jesus cut from a wheel of Parmesan The wedge approximates the shape of the rectangular pyramid It's basis 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 piece of cheese, we can use the formula for the volume of a rectangular pyramid, which is given by:
V = (1/3) x base area x height
First, we need to calculate the base area of the wedge. Since the base is a rectangle with dimensions of 4 cm by 9 cm, the area is:
base area = 4 cm x 9 cm = 36 cm^2
Now, we can substitute the values into the formula:
V = (1/3) x 36 cm^2 x 21 cm
V = (1/3) x 756 cm^3
V = 252 cm^3
Therefore, the volume of the piece of cheese is 252 cubic centimeters.