Question
Look at the shapes given below and state these are polyhedra using Euler’s formula.
✓
Answer
In the give figure, we have.Faces $(F) = 9$, verties $(v) = 9$ and edges $(E) = 16$
On putting these values in Euler's formula, we get.
$F + V - E = 2$
$\Rightarrow 9 + 9 - 16 = 2$
$\Rightarrow 18 - 16 = 2$
$\Rightarrow 2 = 2$
Hence, these valus do not satisfy the Euler's formula. So, it is a polyhedra.
On putting these values in Euler's formula, we get.
$F + V - E = 2$
$\Rightarrow 9 + 9 - 16 = 2$
$\Rightarrow 18 - 16 = 2$
$\Rightarrow 2 = 2$
Hence, these valus do not satisfy the Euler's formula. So, it is a polyhedra.
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