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V = B x h
First, calculate the area of the base (B) by multiplying the length and width:
B = 7 1/4 m x 10 1/2 m
B = (29/4) m x (21/2) m
B = (609/8) m^2
Now, plug in the values for B and h into the formula to find the volume:
V = (609/8) m^2 x 12 2/5 m
V = (609/8) m^2 x (62/5) m
V = (37818/40) m^3
V = 945.45 m^3
Therefore, the volume of the rectangular prism is 945.45 m^3, which can be simplified to 236 1/4 m^3.