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    Question

    A cuboid has a length of 10 cm, a width of 8 cm, and a height of 6 cm. Find the length of its diagonal and its total surface area.

    A Diagonal = 12.8 cm, Surface Area = 408 cm² Correct Answer Incorrect Answer
    B Diagonal = 14 cm, Surface Area = 376 cm² Correct Answer Incorrect Answer
    C Diagonal = 12.8 cm, Surface Area = 404 cm² Correct Answer Incorrect Answer
    D Diagonal = 14 cm, Surface Area = 436 cm² Correct Answer Incorrect Answer

    Solution

    Diagonal = √(l² + w² + h²) = √(10² + 8² + 6²) = √(100 + 64 + 36) = √200 = 14.14 ≈ 14 cm Total surface area = 2(lw + wh + hl) = 2(10 * 8 + 8 * 6 + 6 * 10) = 2(80 + 48 + 60) = 2 * 188 = 376 cm² Correct Answer: b) Diagonal = 14 cm, Surface Area = 376 cm²

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