It is a square based pyramid that has 5 faces, 8 edges and 5 vertices
There is not a polyhedron with the given number of faces, edges and vertices.
A triangular prism has 5 faces, 9 edges, and 6 vertices.
Pyramid
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.
A quadrilateral-based pyramid has 5 vertices, 8 edges and 5 faces
A very strange shape. The Euler characteristic for polyhedra requires that Vertices-Edges+Faces=2. That condition is not met here.
cube
a penagonal prism
cube
A pyramid
You are a square based pyramid that has 5 faces, 8 edges and 5 vertices.