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Question
Verify Euler's formula for the following polyhedron:

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Solution
In the given polyhedron:
Edges E=15
Faces F=7
Vertices V=10

Now, putting these values in Euler's formula:
LHS: F+V
= 7+10
= 17
LHS: E + 2
= 15 + 2
= 17
LHS = RHS
Hence, the Euler's formula is satisfied.
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