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    Question

    The lateral surface area of a cube is 144 cm . 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 200 cm^2 Correct Answer Incorrect Answer
    B 204 cm^2 Correct Answer Incorrect Answer
    C 202 cm^2 Correct Answer Incorrect Answer
    D 206 cm^2 Correct Answer Incorrect Answer
    E 210 cm^2 Correct Answer Incorrect Answer

    Solution

    Let the length of the cube be ‘a’ cm
    According to the question,
    4a2 = 144
    => a2 = 36
    => a = 6
    Therefore, length of the cuboid = l = 1.5 × 6 = 9 cm
    Breadth of the cuboid = b = 9 – 5 = 4 cm
    Height of the cuboid = h = 4/0.8 = 5 cm
    Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(9 × 4) + (4 × 5) + (9 × 5)} = 202 cm2

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