Question

if a polyhedron has 6 faces and 8 vertices find the number of edges

Answer 1

given:-

a polyhedron has 6 faces and 8 vertices

to find:-

the number of edges

sol.

Euler's formula

F+V = E + 2

6+8=E+2

14=E+2

E=14-2

E=12

Answer 2

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We have:

Vertices - 8

Faces - 6

Edges - ?

Euler’s Formula = V + F - E = 2

=> 8+6- E = 2

=> 14-E = 2

=> -E = 2-14

=> -E = -12

=> E = 12

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