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To find the volume of the rectangular prism, use the formula V = B x h, where B is the area of the base and h is the height.
First, find the area of the base:
Area of base = length x width
Area of base = 7 1/4 m x 10 1/2 m
Area of base = (7 + 1/4) x (10 + 1/2)
Area of base = 7.25 m x 10.5 m
Area of base = 76.125 m^2
Now, plug the area of the base and the height into the formula:
V = 76.125 m^2 x 12 2/5 m
V = 76.125 m^2 x (12 + 2/5)
V = 76.125 m^2 x 12.4
V = 946.8 m^3
Therefore, the volume of the rectangular prism is 946 4/5 m^3, which can be simplified to 946 4/5 m^3.