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    Question

    Find the length of the diagonal of a cube with volume

    81√3 cm³?
    A 27 cm Correct Answer Incorrect Answer
    B 3√3 cm Correct Answer Incorrect Answer
    C 9√3 cm Correct Answer Incorrect Answer
    D 9 cm Correct Answer Incorrect Answer

    Solution

    Let side of the cube be a cm then Volume of Cube = a3   So a3 = 81√3   a3 = 27 × 3√3   a3 = 33 × (√3)3   a3 = 33 × (√3)3   a = 3√3   Diagonal of cube = a√3 = 3√3 (√3) =9 cm

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