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      Question

      If the lateral surface area of a

      regular tetrahedron is 243тИЪ3 cm┬▓, find its volume.
      A 456тИЪ3 cm┬│ Correct Answer Incorrect Answer
      B 486тИЪ2 cm┬│ Correct Answer Incorrect Answer
      C 426тИЪ3 cm┬│ Correct Answer Incorrect Answer
      D 386тИЪ3 cm┬│ Correct Answer Incorrect Answer

      Solution

      ATQ,

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

      Solving for 's' :

      s┬▓ = 324

      So, s = 18.

      Volume of the tetrahedron :

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