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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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