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    Question

    The sides of a cuboid are in the ratio 1:2:4. If its volume

    is 1728 cm³, find the sum of its dimensions.
    A 42 cm Correct Answer Incorrect Answer
    B 18 cm Correct Answer Incorrect Answer
    C 32 cm Correct Answer Incorrect Answer
    D 28 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the dimensions be x cm, 2x cm, and 4x cm respectively

    According to the question,

    x × 2x × 4x = 1728

    Or, 8x³ = 1728

    Or, x³ = 216

    Or, x = 6

    Therefore, sum of dimensions = x + 2x + 4x = 7x = 42 cm

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