pentagonal prism.
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It is a square basef pyramid which also has 8 edges
There is no such 3-d shape if it also has flat faces.
A triangular prism
There is no such shape. The only convex shape that has four faces is a tetrahedron, and that has four vertices, not 5.
You can't have a 3-d shape with only 2 faces. A triangular prism has 9 edges and 6 vertices, but it has 5 faces.