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ATQ,
Let the side of the square = x. The side of the cube = x+4. Lateral Surface Area (LSA) of the cube = (x+4)2 Area of the square = x2. Ratio of LSA to square area is 9:1 = On solving we will get:-
Side of the cube = x+4 = 12. Volume of the cube = 123 = 1728 m3.
Hence, the volume of the cube is 1728 m3.
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