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 for a rectangular pyramid is calculated as:
\[ \text{Base Area} = \text{Length} \times \text{Width} \]
In this case, the height (h) is 75 in., the width (w) is 111 in., and the length (l) is 111 in.
First, calculate the base area:
\[ \text{Base Area} = 111 \text{ in} \times 111 \text{ in} = 12,321 \text{ in}^2 \]
Next, use the base area and height to find the volume:
\[ V = \frac{1}{3} \times 12,321 \text{ in}^2 \times 75 \text{ in} \]
\[ V = \frac{1}{3} \times 924,075 \text{ in}^3 \]
\[ V = 308,025 \text{ in}^3 \]
Therefore, the volume of the pyramid-shaped tent is 308,025 in³.