Mathematics
If a polyhedron, has 10 vertices and 7 faces, find the number of edges in it.
3D in 2D
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Answer
Given:
Vertices, V = 10
Faces, F = 7
According to Euler's formula,
F + V - E = 2
So,
⇒ 7 + 10 - E = 2
⇒ 17 - E = 2
⇒ E = 17 - 2
⇒ E = 15
Hence, number of edges = 15.
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Related Questions
If V stands for number of vertices, F stands for number of faces and E stands for number of edges, then :
V + F + E = 2
F + E - V - 2 = 0
F + V - E = 2
F - E + V + 2 = 0
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