Editing Hilbert's third problem (section)

==Original question==
Hilbert's original question was more complicated: given any two [[tetrahedron|tetrahedra]] ''T''<sub>1</sub> and ''T''<sub>2</sub> with equal base area and equal height (and therefore equal volume), is it always possible to find a finite number of tetrahedra, so that when these tetrahedra are glued in some way to ''T''<sub>1</sub> and also glued to ''T''<sub>2</sub>, the resulting polyhedra are scissors-congruent?

Dehn's invariant can be used to yield a negative answer also to this stronger question.