girlvineyard12
girlvineyard12 girlvineyard12
  • 20-07-2021
  • Mathematics
contestada

Using Euler's formula, how many edges does a polyhedron with 6 faces and 7 vertices have? ​

Respuesta :

bankole
bankole bankole
  • 20-07-2021

Answer:

Answer:

11 edges

Step-by-step explanation:

Euler's Formula:

V - E + F = 2, where V, E, and F are, respectively, the number of vertices, edges, and faces

We have:

F = 6, V = 7, E = ?

Substitute these numbers into formula and solve for E:

7 - E + 6 = 2

13 - E = 2

E = 13 - 2

E = 11

This polyhedron  has 11 edges

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