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Math Help - how can i get volume of pyramid from its sides lengths

  1. #1
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    how can i get volume of pyramid from its sides lengths

    i have the lengths of 6 sides of a pyramid so how can i get its volume

    the problem statment is:
    https://www.spoj.pl/problems/PIR/
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  2. #2
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    There is a straight-away answer but I don't know how in-depth it is. It's called Tartaglia's formula and can be found here Niccolò Fontana Tartaglia - Wikipedia, the free encyclopedia

    So, let the vertices of the tetrahedron pyramid be 1,2,3 and 4. If [LaTeX ERROR: Convert failed] distance between vertices i and j, then these are just [LaTeX ERROR: Convert failed] .

    Then the volume is:



    I don't know how one can derive it.
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  3. #3
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    thx for reply and i want to know ideas of all members here
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