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The volume of a rectangular pyramid is calculated using the formula:
V = (1/3) * base area * height
Given that the base of the pyramid is a rectangle with dimensions: 11.66 m, 10 m
Base area = 11.66 m * 10 m = 116.6 m^2
Height of the pyramid = 12 m
V = (1/3) * 116.6 m^2 * 12 m
V = 467.2 m^3
Therefore, the volume of the rectangular pyramid is 467.2 m^3.