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      Question

      The lateral surface area of a cube is 400

      cm2. The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 12 cm less than its length and 40% less than its height. Find the total surface area of the cuboid.
      A 320 cm^2 Correct Answer Incorrect Answer
      B 310 cm^2 Correct Answer Incorrect Answer
      C 270 cm^2 Correct Answer Incorrect Answer
      D 280 cm^2 Correct Answer Incorrect Answer
      E 172 cm^2 Correct Answer Incorrect Answer

      Solution

      Let the length of the cube be ‘a’ cm
      According to the question,
      4a2 = 400
      => a2 = 100
      => a = 10
      Therefore, length of the cuboid = l = 1.5 × 10 = 15 cm
      Breadth of the cuboid = b = 15 – 12 = 3 cm
      Height of the cuboid = h = 3/0.6 = 5 cm
      Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(15 × 3) + (3 × 5) + (15 × 5)} = 270 cm2

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