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Byju's Answer
Standard VIII
Mathematics
Vertices
Complete the ...
Question
Complete the table by using Euler’s formula.
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Solution
We will use the Euler's formula to find the unknown quantity.
Euler's formula: F + V = E + 2
For first case F = 8 and V = 6
∴ 8 + 6 = E + 2
⟹ E = 14 - 2 = 12
For second case F = 5 and E = 9
∴ 5 + V = 9 + 2
⟹ V = 11 - 5 = 6
For third case V = 12 and E = 30
∴ F + 12 = 30 + 2
⟹ E = 32 - 12 = 20
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Q.
Complete the following table and verify Euler's formula in each case.
Faces (F)
6
4
9
7
Edges (E)
12
6
16
15
Vertex (V)
8
4
9
10