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Verify Euler’s formula for each of the following polyhedrons: |
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Answer» (i) Vertices = 10 Faces = 7 Edges = 15 By using Euler’s formula V + F = E + 2 10 + 7 = 15 + 2 17 = 17 Hence verified. (ii) Vertices = 9 Faces = 9 Edges = 16 By using Euler’s formula V + F = E + 2 9 + 9 = 16 + 2 18 = 18 Hence verified. (iii) Vertices = 14 Faces = 8 Edges = 20 By using Euler’s formula V + F = E + 2 14 + 8 = 20 + 2 22 = 22 Hence verified. (iv) Vertices = 6 Faces = 8 Edges = 12 By using Euler’s formula V + F = E + 2 6 + 8 = 12 + 2 14 = 14 Hence verified. (v) Vertices = 9 Faces = 9 Edges = 16 By using Euler’s formula V + F = E + 2 9 + 9 = 16 + 2 18 = 18 Hence verified. |
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