How can you verify Eulers formula for this net of a cube Sol

How can you verify Euler\'s formula for this net of a cube?

Solution

According to Euler\'s formula For any polyhedron that doesn\'t intersect itself, the

Number of Faces + the Number of Vertices (corner points) - the Number of Edges = 2

This can be written: F + V E = 2

Faces + Vertices - Edges = 2

This cube has 6 faces, 8 vertices, and 12 edges.

Euler\'s formula: 6 + 8 - 12 = 2 14 - 12 = 2 2 = 2

LHS = RHS Hence the euler\'s formula is verified for the given case.