A slice of cheese is cut from a wheel of Parmesan and the wedge approximates the shape of a rectangular pyramis
with a triangular base. The cheese slice has a total volume of 150 cubic centimeters and a height of 4 cm. To find the base area of the slice, we can use the formula for the volume of a rectangular pyramid:
Volume = (1/3) * base area * height
Given that the volume is 150 cubic centimeters and the height is 4 cm, we can rearrange the formula to solve for the base area:
Base area = (3 * Volume) / height
Base area = (3 * 150) / 4
Base area = 450 / 4
Base area = 112.5 square centimeters
Therefore, the base area of the cheese slice is 112.5 square centimeters.