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      Question

      A cube of volume 324 cm³ is molded into a cuboid whose

      length, width, and height are in the ratio 3: 2: 2. Find the length of the cuboid.
      A 6 cm Correct Answer Incorrect Answer
      B 12 cm Correct Answer Incorrect Answer
      C 9 cm Correct Answer Incorrect Answer
      D 7.5 cm Correct Answer Incorrect Answer

      Solution

      Ratio of length, width, and height =3:2:2 Let length =3x, width =2x, height =2x. Volume of cuboid =l×b×h 3x ×2x×2x =324 12x3 =324 x3 =27 x = 3cm now the length of the cuboid =3×3 =9cm

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