In a solid if F = V = 5, then the number of edges in this shape is (a) 6 (b) 4 (c) 8 (d) 2
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Solution
Let F = faces, V= vertices and E = edges. Then, Euler's formula for any polyhedron is F + V - E = 2 Given, F = V = 5 On putting the values of F and V in the Euler's formula, we get 5 + 5 - E = 2 ⇒ 10 - E = 2 ⇒ E = 8