Their relationship is modelled by the equation F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
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Faces + Vertices = Edges + 2 its easy
The Euler characteristic for simply connected polyhedra isF + V = E + 2 where F = # faces, V = # vertices and E = # edges.
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. Your figure is a quadrilateral-based prism.
In a polyhedron, there are edges, faces, and corners. The thing that is similar, or common, between the edges, faces, and corners are the vertices.
2 faces, 4 edges, and 4 vertices 2 faces, 4 edges, and 4 vertices