From http://www.etymonline.com/index.php?term=polyhedronpolyhedron1570, from Gk. polyedron, neut. of adj. polyedros"having many bases or sides," from polys "many" (see poly-) + hedra "seat, base, chair, face of a geometric solid," from PIE base *sed- "to sit" (see sedentary).
So, they are many sided geometric solids.
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No. Polyhedrons are any shape with multiple sides. A triangle and a prism are just two different kinds of polyhedrons.
not all
They are 3 dimensional objects such a s polyhedrons.
No, those bounded by only plane faces are but others are not.
Yes, an empty box is and No, polyhedrons don't have to be.