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    Question

    A cuboid has length 8 cm, breadth 6 cm and height 4 cm.

    Find the length of its space diagonal and its total surface area.
    A 208 cm² Correct Answer Incorrect Answer
    B 226 cm² Correct Answer Incorrect Answer
    C 258 cm² Correct Answer Incorrect Answer
    D 285 cm² Correct Answer Incorrect Answer

    Solution

    Space diagonal d: d = √(l² + b² + h²) = √(8² + 6² + 4²) = √(64 + 36 + 16) = √116 = 2√29 cm Total surface area (TSA): TSA = 2(lb + bh + hl) = 2(8×6 + 6×4 + 4×8) = 2(48 + 24 + 32) = 2 × 104 = 208 cm².

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