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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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