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    Question

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

    total surface area of each cube is 216 cm², determine the total surface area of the newly formed cuboid.
    A 330 cm² Correct Answer Incorrect Answer
    B 250 cm² Correct Answer Incorrect Answer
    C 432 cm² Correct Answer Incorrect Answer
    D 350 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

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

    So, 6 × a² = 216

    So, a² = 36

    Or, a = 6

    So, length of the cuboid = 2 × a = 2 × 6 = 12 cm

    Width of the cuboid = a = 6 cm

    And, height of the cuboid = a = 6 cm

    Desired area = 2 × (6 × 6 + 6 × 12 + 6 × 12) = 2 × 216 = 432 cm²

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