There is no such 3-d shape if it also has flat faces.
It is a square based pyramid that has 5 faces, 8 edges and 5 vertices
It is a pentagonal prism.
A triangular prism
It cannot be a simply connected 3d shape because it does not satisfy the Euler characteristic.
It is a triangular prism that has 6 vertices, 5 faces and 9 edges
It is a square basef pyramid which also has 8 edges