Yes
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According to Websters: Prism: a polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms. That would describe a cube. so Yes.
flat surfaces on any polyhedron are called faces
yes
Yes.
A cube is a prism. A cube is another term for a square prism, that makes cube a prism. Others call it special because a cube has 6 square and sometimes equal sides/faces.