Imagine a house's roof -- two triangles joined by lines to their matching vertices. This gives you 6 vertices and only 5 sides.
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There is no such shape. The only convex shape that has four faces is a tetrahedron, and that has four vertices, not 5.
Triangular prism (toblerone shape)
Not a polyhedral shape. You need at least three vertices to define a plane shape. With 5 vertices, the maximum number of triplets you can get is 10 so there cannot be 11 faces.
There is no polyhedral shape with those numbers.
There is not a polyhedron with the given number of faces, edges and vertices.