prove Euler 's formula for a cube
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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
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1
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.
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