Find all the properties of tetrahedron if the lengths of all the edges are known.

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The task here seems simple but is, in fact, something that I don't really know how to solve. Say, you have a tetrahedron with edges of 2, 3, 4, 5, 6 and 7. The easiest here would be to calculate the surface area by using Heron's formula. But then for the volume, you need to either somehow calculate the length of one of the heights, or find a formula similar to Heron's one, that would let you calculate the volume by either using edges or sides. Does anyone have an idea about how to do that?