Verify Euler's formula for the following solids. [4 MARKS]

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Solution

Each part: 2 Marks

(i) Faces = 7, Vertices = 10, Edges = 15

By Euler's Formula, F + V - E = 2

7 + 10 - 15 = 2

17 - 15 = 2

Therefore, Euler's Theorem is verified.

(ii) Faces = 9, Vertices = 9, Edges = 16

By Euler's Formula, F + V - E = 2

9 + 9 - 16 = 2

18 - 16 = 2

Therefore, Euler's Theorem is verified.

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