How is the number of edges related to the number of sides?

Answer 1

The mathematician Euler created a formula that relates the vertices, edges, and faces/sides. The formula states that:

V - E + F = 2

When V is the number of vertices, E is the number of edges, and F is the number of faces.

How do the number of edges relate to the number of sides

Using simple algebra this formula can be modified so the number of edges is related to the number of faces:

V - E + F = 2

V + F = 2 + E

V + F - 2 = E

E = V - 2 + F

The edges are equal to the vertices plus the faces subtract two.

How do the number of sides relate to the number of edges

Using simple algebra this formula can be modified so the number of faces is related to the number of edges:

V - E + F = 2

V + F = 2 + E

F = 2 + E - V

The faces are equal to the edges subtract the vertices plus two.