shaia8697 shaia8697
  • 29-07-2017
  • Mathematics
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If a convex polyhedron has 18 edges and 12 vertices, then how many faces does it have?

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bcalle
bcalle bcalle
  • 29-07-2017
There is a formula for finding the number of faces, edges, and vertices of any convex polyhedron. So if you don't know the shape you can use the formula.
V + F - E = 2
12 + F - 18 = 2
F - 6 = 2
add 6 to both sides
F = 8

CHECK:12 + 8 - 18 ??=?? 2
              20 - 18 = 2 checks

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