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    Question

    If the lateral surface area of a

    regular tetrahedron is 75√2 cm², determine the volume of the tetrahedron
    A 120√2 cm³ Correct Answer Incorrect Answer
    B 150√2 cm³ Correct Answer Incorrect Answer
    C 250√2 cm³ Correct Answer Incorrect Answer
    D 100√2 cm³ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let 's' be the edge length in cm. Lateral surface area:

    On Solving we get,

    s2 = 100 = s = 10cm

    Volume: 

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