Q:

# How many edges does a polyhedron have?

A:

The number of edges of any polyhedron can be calculated using the formula: E = V + F - 2, where "E'" denotes the number of edges, "V" indicates the number of vertices and "F" represents the number of faces. It is derived from the famous polyhedral equation formulated by Leonhard Euler, which states that V + F - E = 2.

## Keep Learning

In geometry, a polyhedron is a closed three dimensional figure that contains "vertices," "edges" and planar surfaces called "faces." Some examples of polyhedrons are cubes, prisms and dodecahedrons. By using the derived formula, the number of edges of a cube, which has eight vertices and six faces, is equal to 12.

Sources:

## Related Questions

• A: A square pyramid, a pyramid with four triangular sides and one square side, is a figure with five faces, eight edges and five vertices. It is a kind of thr... Full Answer >
Filed Under:
• A: A sphere has no faces, edges or vertices. By definition, it is a curved three-dimensional geometric figure whose surface is defined as the set of all the p... Full Answer >
Filed Under:
• A: As defined by Plato, the essential properties of a Platonic solid are: all sides are convex regular polygons of equal size, all of the faces intersect at t... Full Answer >
Filed Under:
• A: An icosahedron is a regular polyhedron with 20 faces, all of which are equilateral triangles. An icosahedron has 30 edges and 12 vertices. Five equilateral... Full Answer >
Filed Under:
PEOPLE SEARCH FOR