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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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