AnnaroseY504783 AnnaroseY504783
  • 29-10-2022
  • Mathematics
contestada

For the polygon use Euler’s formula to find the missing number?

For the polygon use Eulers formula to find the missing number class=

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TylanB233087 TylanB233087
  • 29-10-2022

Solution:

Given:

[tex]\begin{gathered} Faces,F=6 \\ Vertices,V=8 \\ Edges=E \end{gathered}[/tex]

Using the Euler's formula of polyhedron,

[tex]\begin{gathered} V-E+F=2 \\ \\ Substitute\text{ the given values;} \\ 8-E+6=2 \\ \\ Collect\text{ the like terms;} \\ 8+6-2=E \\ 12=E \\ E=12 \end{gathered}[/tex]

Therefore, the number of edges is 12.

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