To find the volume of the wedge of cheese, which is shaped like a rectangular pyramid, you can use the formula for the volume \( V \) of a pyramid:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
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Calculate the Base Area: The base area (A) of the rectangular base is calculated as:
\[ A = \text{length} \times \text{width} = 9 , \text{cm} \times 4 , \text{cm} = 36 , \text{cm}^2 \]
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Use the Height: The height (h) of the pyramid is given as 21 cm.
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Calculate the Volume: Now substitute the values into the volume formula:
\[ V = \frac{1}{3} \times 36 , \text{cm}^2 \times 21 , \text{cm} \]
\[ V = \frac{1}{3} \times 756 , \text{cm}^3 \]
\[ V = 252 , \text{cm}^3 \]
Thus, the volume of the piece of cheese is 252 cm³.