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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 cm┬▓.
    A 330 cm┬▓ Correct Answer Incorrect Answer
    B 126 cm┬▓ Correct Answer Incorrect Answer
    C 432 cm┬▓ Correct Answer Incorrect Answer
    D 768 cm┬▓ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the length of each edge of the cube = тАШaтАЩ cm

    So, 6 ├Ч a┬▓ = 384

    So, a┬▓ = 64

    Or, a = 8

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

    Width of the cuboid = a = 8 cm

    And, height of the cuboid = a = 8 cm

    Desired area = 2 ├Ч (8 ├Ч 8 + 8 ├Ч 16 + 8 ├Ч 16) = 2 ├Ч 384 = 768 cm┬▓

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