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    Question

    The lateral surface area of a cube is 1024

    cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 15 cm less than its length and 10% less than its height. Find the total surface area of the cuboid.
    A 1092 cm^2 Correct Answer Incorrect Answer
    B 1499.25 cm^2 Correct Answer Incorrect Answer
    C 1472 cm^2 Correct Answer Incorrect Answer
    D 1496.82 cm^2 Correct Answer Incorrect Answer

    Solution

    Let the length of the cube be ‘a’ cm
    According to the question,
    4a2 = 1024
    => a2 = 256
    => a = 16
    Therefore, length of the cuboid = l = 1.5 × 16 = 24 cm
    Breadth of the cuboid = b = 24 – 15 = 9 cm
    Height of the cuboid = h = 9/0.9 = 10 cm
    Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(24 × 9) + (9 × 10) + (24 × 10)} = 1092 cm2

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