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    Question

    Find the total surface area of a cuboid that is formed

    by combining two identical cubes, given that the total surface area of each cube is 150 cm².
    A 330 cm² Correct Answer Incorrect Answer
    B 250 cm² Correct Answer Incorrect Answer
    C 495 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 = 150

    So, a² = 25

    Or, a = 5 (Since, length cannot be negative, we take only the positive root)

    So, length of the cuboid = 2 × a = 2 × 5 = 10 cm

    Width of the cuboid = a = 5 cm

    And, height of the cuboid = a = 5 cm

    Desired area = 2 × (5 × 5 + 5 × 10 + 5 × 10) = 2 × 125 = 250 cm²

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