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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.

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  • 1. 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.