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      Question

      The side of a cube is 4m more than the side of a square.

      If the ratio of lateral surface area of the cube and the area of the square is 9:1, then what will be the volume of the cube.
      A 1520 m³ Correct Answer Incorrect Answer
      B 1250 m³ Correct Answer Incorrect Answer
      C 1900 m³ Correct Answer Incorrect Answer
      D 1728 m³ Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      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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