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    Question

    A cuboid has its dimensions in the ratio 2:1:3. If the

    volume of the cuboid is 3072 cm³, calculate the sum of its dimensions.
    A 36 cm Correct Answer Incorrect Answer
    B 30 cm Correct Answer Incorrect Answer
    C 48 cm Correct Answer Incorrect Answer
    D 42 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let, the dimensions of the cuboid be 2x cm, x cm and 3x cm, respectively According to the question, 2x × x × 3x = 3072 Or, x3 = 3072/6 = 512 Or, x = 8 Therefore, sum of the dimensions = 2x + x + 3x = 6x = 48 cm

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