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    Question

    Find the total surface area of a cuboid that is formed by

    merging two identical cubes, where the surface area of each cube is given as 384 cm².
    A 330 cm² Correct Answer Incorrect Answer
    B 126 cm² Correct Answer Incorrect Answer
    C 432 cm² Correct Answer Incorrect Answer
    D 768 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

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

    So, 6 × a² = 384

    So, a² = 64

    Or, a = 8

    So, length of the cuboid = 2 × a = 2 × 8 = 16 cm

    Width of the cuboid = a = 8 cm

    And, height of the cuboid = a = 8 cm

    Desired area = 2 × (8 × 8 + 8 × 16 + 8 × 16) = 2 × 384 = 768 cm²

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