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The formula for the volume of a rectangular pyramid is V = (1/3) * length * width * height.
Plugging in the values:
V = (1/3) * 111 in. * 111 in. * 75 in.
V = (1/3) * 1,119,975 in.^3
V = 373,325 in.^3
Therefore, the volume of the pyramid-shaped tent is 373,325 in.^3, which can also be written as 373,325 in. cubed.