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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
      E none of these 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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