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    Question

    The lateral surface area of a cube is 256 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 5 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.

    A 592 cm^2 Correct Answer Incorrect Answer
    B 500.50 cm^2 Correct Answer Incorrect Answer
    C 572 cm^2 Correct Answer Incorrect Answer
    D 506.82 cm^2 Correct Answer Incorrect Answer
    E 501.50 cm^2 Correct Answer Incorrect Answer

    Solution

    Let the length of the cube be ‘a’ cm
    According to the question,
    4a2 = 256
    => a2 = 64
    => a = 8
    Therefore, length of the cuboid = l = 1.5 × 8 = 12 cm
    Breadth of the cuboid = b = 12 – 5 = 7 cm
    Height of the cuboid = h = 7/0.8 = 8.75 cm
    Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(12 × 7) + (7 × 8.75) + (12 × 8.75)} = 500.50 cm2

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