al5ynnO3limicher
al5ynnO3limicher al5ynnO3limicher
  • 02-09-2016
  • Mathematics
contestada

If a figure has eight vertices and 12 edges, how many faces does it have?

Respuesta :

18JMurphy 18JMurphy
  • 02-09-2016
6 faces its a polyhedron
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OrethaWilkison OrethaWilkison
  • 16-04-2019

Answer:

6 faces does it have

Step-by-step explanation:

In any convex polyhedron:

let v be the number  vertices , e is the number of edges and f is the number of faces then;

[tex]v+f-2 = e[/tex]              ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

[tex]8+f-2 = 12[/tex]

⇒[tex]6+f = 12[/tex]

Subtract 6 from both sides we have;

f = 6

Therefore, 6 faces does it have

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