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Question

What is the minimum number of faces required for a polyhedron?

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is C 4
For a polyhedron, F + V = E + 2 [By Euler’s formula]
As a triangular pyramid has the least number of faces, that is, 4.
So, the minimum number of faces required = 4.
Since the Euler’s formula does not put any restrictions on the number of faces, we can have a polyhedron with any given number of faces greater than 4.

So, option (3) is correct.

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