Question

prove Euler 's formula for a cube​

Answer 1

Answer:

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. A cube, for example, has 6 faces, 8 vertices, and 12 edges, and satisfies this formul as

Answer 2

Answer:

Euler's formula is related to the Faces, Edges and vertices of any polyhedron.  

Euler's formula is proved and verified for a cube

Explaination :-

Euler's Formula :

Vertices - Edges + Faces = 2

Cube has :

Vertices = 8

Faces = 6

Edges = 12

Formula :

→ V - E + F = 2

→ 8 - 12 + 6 = 2

→ 8 - 6 = 2

→ 2 = 2

Therefore, LHS = RHS

Hence, Euler’s formula for a cube is verified.