Geodesic
The volume of polyhedron as a function of its metric
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 4, pp. 1235-1246 
I. Kh. Sabitov. The volume of polyhedron as a function of its metric. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 4, pp. 1235-1246. http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a19/
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     title = {The volume of polyhedron as a function of its metric},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a19/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the volume of any polyhedron is root of some polynomial whose coefficients are not depending on the concrete form of the polyhedron in three-space under the condition that its metric is known apriori. As consequence we have a proof of the “bellows conjecture” affirming the invariance of volume of a flexible polyhedron in the process of its flexion.