anonymous
  • anonymous
Mario’s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 20 edges. How many vertices did the gemstone have? 34 vert. 10 vert. 30 vert 8 vert.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Have you use Euler's Formula before?
anonymous
  • anonymous
once or twice but I'm not sure exactly what it is
anonymous
  • anonymous
http://www.mathsisfun.com/geometry/eulers-formula.html

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anonymous
  • anonymous
But hows that work when I don't have the number of vertices? I put it in as x and solve the equation?
anonymous
  • anonymous
So for any convex polyhedron, the relationship between the Edges, Vertices, and Faces is given by:\[\bf F+V-E=2\]Substitute for the already given number of faces and number of edges and solve for the number of vertices:\[\bf 12+V-20=2 \implies V=?\]
anonymous
  • anonymous
Oh, ok! I'll so that right now
anonymous
  • anonymous
*do
anonymous
  • anonymous
And you understand what convex means right?
anonymous
  • anonymous
I got 10 vertices =D Isn't convex smaller then 180? Or is that 360?

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