saimtheawesome1
saimtheawesome1 saimtheawesome1
  • 15-05-2017
  • Mathematics
contestada

if a convex polyhedron has 6 vertices and 8 faces then it has _____ edges?

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WojtekR
WojtekR WojtekR
  • 15-05-2017
You could use Euler's polyhedron formula:

[tex]V-E+F=2[/tex]

where V -
numbers of vertices, E - numbers of edges and F - numbers of faces. In this case we have V = 6 and F = 8 so:

[tex]V-E+F=2\\\\6-E+8=2\\\\E=6+8-2\\\\\boxed{E=12}[/tex]

Polyhedron has 12 edges.
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