Question

Question 67 (xi)

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

Answer 1

In the given figure, we have
Faces (F) = 2, Vertices (V) = 1 and edges (E) = 0
On putting these values in Euler's formula, we get
F + V - E = 2
$\Rightarrow$ 2 + 1 - 0 = 2
$\Rightarrow$ 3 $\ne$ 2
Hence, these values do not satisfies the Euler's formula. So, it is not a polyhedron.