Question

Question 67 (v)

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) = 5, Vertices (V) = 6 and Edges (E) = 9
On putting these values in Euler's formula, we get
F + V - E = 2
$\Rightarrow$ 5 + 6 - 9 = 2
$\Rightarrow$ 11 - 9 = 2
$\Rightarrow$ 2 = 2
Hence, these values satisfies the Euler's formula. So, it is a polyhedron.