Subject666
Subject666 Subject666
  • 30-08-2021
  • Mathematics
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3. A solid has twelve more edges than faces. How many vertices does it have?

Respuesta :

mkdoyle27
mkdoyle27 mkdoyle27
  • 30-08-2021

Answer:

14

Step-by-step explanation:

Faces= F, Vertices= V and Edges= E

Here,

we have: E = F+12

Now, according to Euler's Formula:

V-E+F=2

V-(F+12)+F=2

V-F-12+F=2

V-12=2

V=14

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