Polyhedron is a geometric solid in three dimensions with flat faces and straight edges.
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A cube is a solid figure called a polyhedron. A polyhedron is a solid figure with all flat faces. So a cone would be a solid figure but not a polyhedron becasue it has a curve and does not have all flat faces.
An irregular polyhedron is a solid shape in which either all edges are not the same length, or all faces are not congruent polygons or all [solid] angles are not of the same measure.
They are called faces of the polyhedron.
A polyhedron is a solid with flat faces - a cube is just one of many different examples of regular polyhedra - otherwise known as platonic solids.
A polyhedron with 20 faces is called an icosahedron.