Question

Question 67 (vii)

Look at the shape given below and state if it is a polyhedron using Euler's formula.
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Answer 1

In the given figure, we have
Faces (F) = 11, Vertices (V) = 11 and edges (E) = 20
On putting these values in Euler's formula, we get
F + V - E = 2
$\Rightarrow$ 11 + 11 - 20 = 2
$\Rightarrow$ 22 - 20 = 2
$\Rightarrow$ 2 = 2
Hence, these values satisfies the Euler's formula. So, it is a polyhedron.