Geodesic
An Isoperimetric Inequality for Tetrahedra
Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 667-669

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Let T be a tetrahedron and let V(T) and L(T) denote its volume and the sum of its edge-lengths. In this note we proveTheorem 1. with equality if and only if the tetrahedron T is regular. 
Melzak, Z.A. An Isoperimetric Inequality for Tetrahedra. Canadian mathematical bulletin, Tome 9 (1966) no. 5, pp. 667-669. doi: 10.4153/CMB-1966-080-0
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     title = {An {Isoperimetric} {Inequality} for {Tetrahedra}},
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     year = {1966},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-080-0/}
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