To find the volume of a rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
The base area is the product of the width and length. In this case, the width is 111 inches and the length is 11 inches.
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Calculate the base area: \[ \text{Base Area} = \text{width} \times \text{length} = 111 , \text{in} \times 11 , \text{in} = 1,221 , \text{in}^2 \]
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Use the height, which is 75 inches, in the volume formula: \[ V = \frac{1}{3} \times 1,221 , \text{in}^2 \times 75 , \text{in} \]
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Calculate the volume: \[ V = \frac{1}{3} \times 1,221 \times 75 = \frac{91,575}{3} = 30,525 , \text{in}^3 \]
None of the provided option values (A, B, C, D) match this calculated volume. It seems there could be an error in the values you provided or expected answers. Based on the calculations, the volume of the pyramid-shaped tent is \( 30,525 , \text{in}^3 \).