check whether polyhedron can have V=12 E=6 and F=8.
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F + V - E = 2
8+12−6=2
20−6=2
14 is not equal 2
Therefore, these given value do not satisfy Euler's formula. So, the given figure is not a polyhedral.
Answered by
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Answer:
As per question:
Euler's Formula is for any polyhedrons. i.e.
F + V - E = 2
Given, F = 8 and V = 12 and E = 6
According to the formula:
8+12−6=2
20−6=2
14=2
14 is not equal to 2
Therefore, these given value do not satisfy Euler's formula. So, the given figure is not a polyhedral.
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