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Using Euler's Formula,
here F = faces
V = Vertices
E = edges
1) find X1
Solution → F = X1 , V = 12 , E = 30
• put the values in Formula “F + V - E = 2”
X1 + 12 - 30 = 2
X1 - 18 = 2
X1 = 2 + 18
X1 = 20
2) Find X2
Solution → F = 8 , V = X2 , E = 12
According to Formula,
F + V - E = 2
8 + X2 - 12 = 2
X2 - 4 = 2
X2 = 6
3) Find X3
Solution→ F = 5 , V = 6 , E = X3
According to Formula,
F + V - E = 2
5 + 6 - X3 = 2
11 - X3 = 2
- X3 = - 9
X3 = 9
So, X1 = 20 , X2 = 6 , X3 = 9
Answered by
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Answer:
here F = faces
V = Vertices
E = edges
1) find X1
Solution → F = X1 , V = 12 , E = 30
• put the values in Formula “F + V - E = 2”
X1 + 12 - 30 = 2
X1 - 18 = 2
X1 = 2 + 18
X1 = 20
2) Find X2
Solution → F = 8 , V = X2 , E = 12
According to Formula,
F + V - E = 2
8 + X2 - 12 = 2
X2 - 4 = 2
X2 = 6
3) Find X3
Solution→ F = 5 , V = 6 , E = X3
According to Formula,
F + V - E = 2
5 + 6 - X3 = 2
11 - X3 = 2
- X3 = - 9
X3 = 9
So, X1 = 20 , X2 = 6 , X3 = 9
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