Question

Question 67 (ii)

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

Answer 1

In the given figure, we have
Faces (F) = 6, Vertices (V) = 8 and edges (E) = 12
On putting these values in Euler's formula, we get
F + V - E = 2
$\Rightarrow$ 6 + 8 - 12 = 2
$\Rightarrow$ 14 - 12 = 2
$\Rightarrow$ 2 = 2
Hence, these values satisfies the Euler's formula. So, it is a polyhedron.