How Many Edges Does a Polyhedron Have?


Quick Answer

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.

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Full Answer

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.

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