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Question

Using Euler's formula find the missing numbers in the table:

Faces?520Vertices6?12Edges129? [4 MARKS]

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Solution

Formula : 1 Mark
Each missing number : 1 Mark each

From Euler’s formula we know that

F + V - E = 2

In first column,

F+612=2F=8

In second column,

5+V9=2,V=6

In third column,

20+12?=2,E=30

Faces8520Vertices6612Edges12930


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