Question
Look at the shapes given below and state these are polyhedra using Euler’s formula.
✓
Answer
In the give figure, we have.
Faces $(F) = 1$, verties $(v) = 0$ and edges $(E) = 1$
On putting these values in Euler's formula, we get.
$F + V - E = 2$
$\Rightarrow 1 + 0 - 1 = 2$
$\Rightarrow0\neq2$
Hence, these valus do not satisfy the Euler's formula. So, it is not a polyhedra.
Faces $(F) = 1$, verties $(v) = 0$ and edges $(E) = 1$
On putting these values in Euler's formula, we get.
$F + V - E = 2$
$\Rightarrow 1 + 0 - 1 = 2$
$\Rightarrow0\neq2$
Hence, these valus do not satisfy the Euler's formula. So, it is not a polyhedra.
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