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    Question

    If the lateral surface area of a

    regular tetrahedron is 243√3 cm², find its volume.
    A 456√3 cm³ Correct Answer Incorrect Answer
    B 486√2 cm³ Correct Answer Incorrect Answer
    C 426√3 cm³ Correct Answer Incorrect Answer
    D 386√3 cm³ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the edge length be 's' cm. The lateral surface area is given by:

    Solving for 's' :

    s² = 324

    So, s = 18.

    Volume of the tetrahedron :

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