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    Question

    A cuboid is formed by combining two identical cubes. If the

    surface area of each cube is 600 cm², find the total surface area of the resulting cuboid.
    A 1330 cm² Correct Answer Incorrect Answer
    B 1200 cm² Correct Answer Incorrect Answer
    C 1432 cm² Correct Answer Incorrect Answer
    D 1768 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the length of each edge of the cube = ‘a’ cm

    So, 6 × a² = 600

    So, a² = 100

    Or, a = 10

    So, length of the cuboid = 2 × a = 2 × 10 = 20 cm

    Width of the cuboid = a = 10 cm

    And, height of the cuboid = a = 10 cm

    Desired area = 2 × (10 × 10 + 10 × 20 + 10 × 20) = 2 × 600 = 1200 cm²

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