Question

Using Euler's fomnula, find the values of P.Q. R and S respectively.

Answer 1

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Using Eulers Formulae as F + V = E + 2

1) Face = 6 , Vertices = P , Edges = 12

=> 6 + P = 12 + 2

=> 6 + P = 14

=> P = 8

2) Face = Q , Vertices = 5 , Edges = 9

=> Q + 5 = 9 + 2

=> Q + 5 = 11

=> Q = 6

3) Face = 20 , Vertices = 36 , Edges = S

=> 20 + 36 = S + 2

=> 56 = S + 2

=> S = 54

4) Face = 14 , Vertices = R , Edges = 36

=> 14 + R = 36 + 2

=> 14 + R = 38

=> R = 24