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      Question

      The lateral surface area of a cube is 900 cm2

      . The length of a cuboid is 60% more than the side of the cube. The breadth of the cuboid is 20 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.
      A 490.25 cm^2 Correct Answer Incorrect Answer
      B 499.25 cm^2 Correct Answer Incorrect Answer
      C 472 cm^2 Correct Answer Incorrect Answer
      D 496.82 cm^2 Correct Answer Incorrect Answer
      E 401 cm^2 Correct Answer Incorrect Answer

      Solution

      Let the length of the cube be ‘a’ cm
      According to the question,
      4a2 = 900
      => a2 = 225
      => a = 15
      Therefore, length of the cuboid = l = 1.6 × 15 = 24 cm
      Breadth of the cuboid = b = 24 – 20 = 4 cm
      Height of the cuboid = h = 4/0.8 = 5 cm
      Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(24 × 4) + (4 × 5) + (24 × 5)} = 472 cm2

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