Question

Euler's formulae regarding face , vertex and edges is __________ .​

Answer 1

Answer:

Euler's formula, Either of two important mathematical theorems of Leonhard Euler. The first is a topological invariance (see topology) relating the number of faces, vertices, and edges of any polyhedron. It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges.

Answer 2

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✯ Euler's formula :– F + V = 2 + E

⠀⠀⠀where F, V and E stands for Faces, Vertices, and Edges respectively for any convex polyhedron.

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✍️ Some more info :

• What is a Polyhedron ?

Solid geometric shapes which have faces, edges and vertices are known as polyhedrons.

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There are 2 types of Polyhedrons. They are -

• Convex Polyhedron

If the surface of a polyhedron (which consists of its faces, edges, and vertices) does not intersect itself and the line segment connecting any two points of the polyhedron lies within its interior part or surface then such a polyhedron is a convex polyhedron.

• Concave Polyhedron

A non-convex polyhedron is termed as a concave polyhedron.

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