The only thing that can be said that there must be at least 4 faces and at least 6 edges and that the polyhedron must satisfy the Euler criterion which requires that:
Faces + Vertices = Edges + 2.
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8 edges and 5 faces
If it is a polyhedron, then four or more faces and four or more corners.
cylinder
It has 6 faces, 12 edges and 8 corners or vertices
The numbers in the question do not satisfy the Euler characteristic so there cannot be such a [convex] polyhedron.