Question

Question 67 (viii)

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) = 9, Vertices (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 values satisfies the Euler's formula. So, it is a polyhedron.