Question

For a certain regular solid: number of faces + number of vertices = number of edges+2. for three such distinct (not touching each other) objects, what is the total value of faces + vertices edges?

Answer 1

Let the total number of faces =F and The total number of Vertices=V

The total number of edges =E

From the relationship described above, we can come up with an equation to represent the relationship.

This equation is:

F+V=E+2
This represents the relationship in one solid.

For us to express this for three solids Then we multiply the equation by three.

Doing this we get: 3F+3V=3E+6

This means the total number of faces + vertices = 3 times the total number of edges + 6.

The total number of edges=3E.