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    Question

    The lateral surface area of a cube is 784

    cm2. The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 20 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.
    A 90.25 cm^2 Correct Answer Incorrect Answer
    B 99.25 cm^2 Correct Answer Incorrect Answer
    C 97 cm^2 Correct Answer Incorrect Answer
    D 96.82 cm^2 Correct Answer Incorrect Answer
    E 101 cm^2 Correct Answer Incorrect Answer

    Solution

    Let the length of the cube be ‘a’ cm
    According to the question,
    4a2 = 784
    => a2 = 196
    => a = 14
    Therefore, length of the cuboid = l = 1.5 × 14 = 21 cm
    Breadth of the cuboid = b = 21 – 20 = 1 cm
    Height of the cuboid = h = 1/0.8 = 1.25 cm
    Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(21 × 1) + (1 × 1.25) + (21 × 1.25)} = 97 cm2

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