Assertion: tetrahedron's edge length | /r/CapableOf | determine the area
Facets:
Source sentences:
text: As for higher dimensional simplexes, there is no complete generalization of Heron's formula giving the volume of a general tetrahedron in terms of the areas of its faces, because the face areas don't uniquely determine the volume (in contrast to the case of triangles, where the three edge lengths determine the area).