Question
Verify Euler's formula for the following polyhedrons:

Answer

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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