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      Question

      If the edge of the cube is increased by 5%, then find the

      percentage increase in the volume of the cube.
      A 15.7% Correct Answer Incorrect Answer
      B 16% Correct Answer Incorrect Answer
      C 10.5% Correct Answer Incorrect Answer
      D 14.2% Correct Answer Incorrect Answer

      Solution

      Let the edge of the cube be x unit
      Volume of cube = x³ cubic unit
      New edge = 1.05x unit
      New volume = (1.05x)³ = 1.157625x³ cubic unit
      Increase in volume = 1.157625x³ – x³ = 0.157625x³ cubic unit
      Percentage increase = (0.157625x³ / x³) × 100 = 15.7625%

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