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Mario’s company makes unusually shaped imitation gemstones. One gemstone had 10 faces and 12 vertices. How many edges did the gemstone have?

Respuesta :

20 edges 
F=12, V=10
V -E+F=2
10-E+12=2
-E+22=2
-E=-20
E=20

The gemstone that has 10 faces and 12 vertices will have 20 edges.

We can find the answer using Euler's Polyhedral Formula.

What is Euler's Polyhedral Formula?

Euler's Polyhedral Formula states that the number of vertices - the number of edges + the number of faces is always equal to 2.

V - E + F = 2

It is given that the number of faces is 10 and the number of vertices is 12. We can use Euler's formula to find the number of edges that the gemstone has. It can be done as shown below:

V - E + F = 2

⇒ 12 - E + 10 = 2

⇒ 12 + 10 -2 = E

⇒ E = 20

The number of edges is 20.

Therefore, we have found that the gemstone has 20 edges.

Learn more about Euler's Polyhedral Formula here: https://brainly.com/question/12943884

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