ShivinB680941 ShivinB680941
  • 19-10-2022
  • Mathematics
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Using Euler's formula, how manyedges does a polyhedron with 20faces and 12 vertices have?? ] edgesEuler's Formula: F + V = E + 2Enter

Using Eulers formula how manyedges does a polyhedron with 20faces and 12 vertices have edgesEulers Formula F V E 2Enter class=

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HermilaP302785 HermilaP302785
  • 19-10-2022

SOLUTION:

Case: Euler's formula

Given:

Faces= 20

Vertices =12

Euler's formula: F + V = E + 2

Required: To find the number of Edges

Method:

Step 1: Recreate the formula to isolate E

F + V = E + 2

E = F+V - 2

Step 2: Plug in the value of the variables

E = F+V - 2

E= 20 + 12 - 2

E = 30

Step 3:

The value of E is 30

Final answer:

The Polyhedron has 30 edges

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