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    Question

    A square pyramid has a base side of 8 cm and a height of

    15 cm. Find the total surface area of the pyramid.
    A 256 cm┬▓ Correct Answer Incorrect Answer
    B 312.3 cm┬▓ Correct Answer Incorrect Answer
    C 320 cm┬▓ Correct Answer Incorrect Answer
    D 368 cm┬▓ Correct Answer Incorrect Answer

    Solution

    Base area = side┬▓ = 8┬▓ = 64 cm┬▓. Slant height (l) = тИЪ[(side/2)┬▓ + height┬▓]┬а = тИЪ[(8/2)┬▓ + 15┬▓] = тИЪ[4┬▓ + 15┬▓]┬а = тИЪ[16 + 225] = тИЪ241 тЙИ 15.52 cm. Lateral surface area = (1/2) * perimeter * slant height = (1/2) * (4 * side) * l┬а = (1/2) * (4 * 8) * 15.52 = 248.32 cm┬▓. Total surface area = Base area + Lateral surface area = 64 + 248.3 = 312.3 cm┬▓. Correct option: b) 312.3 cm┬▓

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