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?(

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a rectangular pyramid is given by the formula:

\[ \frac{1}{3} \times \text{base area} \times \text{height} \]

In this case, the base area of the rectangular pyramid is given by:

\[ \text{Base area} = \text{length} \times \text{width} = 9 \text{ cm} \times 4 \text{ cm} = 36 \text{ cm}^2 \]

Therefore, the volume of the piece of cheese is:

\[ \frac{1}{3} \times 36 \text{ cm}^2 \times 21 \text{ cm} = 252 \text{ cm}^3 \]

So, the volume of the piece of cheese is 252 cubic centimeters.