Question

A slice of cheese is cut from a wheel of parmesan, and the wedge approximates the shape of the rectangular pyramid. its base is 4 cm wide and 6 cm long. the wedge is 8 cm tall. what is the volume of the piece of cheese?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a rectangular pyramid is given by the formula: V = (1/3) * base area * height.

First, we need to find the base area of the wedge. Since the base is a rectangle, the area is length * width:
Base area = 4 cm * 6 cm = 24 cm^2.

Now, we can find the volume by plugging in the values we know:
V = (1/3) * 24 cm^2 * 8 cm
V = 64 cm^2 * 8 cm / 3
V = 512 cm^3 / 3
V ≈ 170.67 cm^3.

Therefore, the volume of the piece of cheese is approximately 170.67 cm^3.