Can a polyhedron have 20 faces, 12 vertices and 30 edges?

Rectangular prism

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Triangular prism

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Solution

The correct option is A
Rectangular prism

F=20, V= 12, E=30

$F + V - E$ $= 20 + 12 - 30 = 32 - 30 = 2$

Hence Euler's formula is verfied.

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