Question
Look at the shapes given below and state these are polyhedra using Euler’s formula.
✓
Answer
In the give figure, we have.Faces $(F) = 7$, verties $(v) = 10$ and edges $(E) = 15$
On putting these values in Euler's formula, we get.
$F + V - E = 2$
$\Rightarrow 17 + 10 - 15 = 2$
$\Rightarrow 17 - 15 = 2$
$\Rightarrow 2 = 2$
Hence, these valus satisfie the Euerl's fomula. So, it is a polyhedra
On putting these values in Euler's formula, we get.
$F + V - E = 2$
$\Rightarrow 17 + 10 - 15 = 2$
$\Rightarrow 17 - 15 = 2$
$\Rightarrow 2 = 2$
Hence, these valus satisfie the Euerl's fomula. So, it is a polyhedra
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