1.

Verify Euler’s formula for each of the following polyhedrons:

Answer»

(i) Vertices = 10

Faces = 7

Edges = 15

V + F = E + 2

10 + 7 = 15 + 2

17 = 17

(ii) Vertices = 9

Faces = 9

Edges = 16

V + F = E + 2

9 + 9 = 16 + 2

18 = 18

(iii) Vertices = 14

Faces = 8

Edges = 20

V + F = E + 2

14 + 8 = 20 + 2

22 = 22

(iv) Vertices = 6

Faces = 8

Edges = 12

V + F = E + 2

6 + 8 = 12 + 2

14 = 14

(v) Vertices = 9

Faces = 9

Edges = 16

V + F = E + 2

9 + 9 = 16 + 2

18 = 18



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