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Euler's Formula

Can a polyhed...

Question

Can a polyhedron have 7 faces, 10 vertices and 15 edges?

A

Cuboid

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B

Cone

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Solution

The correct option is A
Cuboid

F=7, V=10, E=15

$F + V - E$ $= 7 + 10 - 15 = 17 - 15 = 2$

Hence Euler's Formula is verified.

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