maria2penahenriquez maria2penahenriquez
  • 21-06-2022
  • Mathematics
contestada

a polyhedron has 24 edges and 12 vertices. how many faces does it have?

Respuesta :

wolf1728
wolf1728 wolf1728
  • 21-06-2022

Answer:

According to Euler's formula, a polyhedron's vertices minus the number of edges plus the number of faces should equal 2.

V -E + F = 2

Therefore, the number of faces should equal 2 -vertices +number of edges.

So, a polyhedron with 24 edges and 12 vertices would have

2 -12 +24 faces or

14 faces

Step-by-step explanation:

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