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The formula for the volume of a rectangular pyramid is:
V = (1/3) * length * width * height
Plugging in the given values:
V = (1/3) * 111 in. * 111 in. * 75 in.
V = (1/3) * 1,234,875 in³
V = 411,625 in³
Therefore, the volume of the pyramid-shaped tent is 411,625 cubic inches.