If a polyhedron has 15 vertices and 20 edges, then it has ___ faces.

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Solution

Given: V = 15, E = 20, F = ?
Using Euler's formula we know

$F + V - E = 2$

$∴ F + 15 - 20 = 2$

$F - 5 = 2$

$F = 7$

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