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    Question

    The lateral surface area of a cube is 324 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 9 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.

    A 220 cm^2 Correct Answer Incorrect Answer
    B 334 cm^2 Correct Answer Incorrect Answer
    C 324 cm^2 Correct Answer Incorrect Answer
    D 226 cm^2 Correct Answer Incorrect Answer
    E 221 cm^2 Correct Answer Incorrect Answer

    Solution

    Let the length of the cube be ‘a’ cm
    According to the question,
    4a2 = 324
    => a2 = 81
    => a = 9
    Therefore, length of the cuboid = l = 1.50 × 9 = 13.5 cm
    Breadth of the cuboid = b = 13.5 – 9 = 4.5 cm
    Height of the cuboid = h = 4.5/0.8 = 5.625 cm
    Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(13.5 × 4.5) + (4.5 × 5.625) + (13.5 × 5.625)} = 324 cm2

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