Question

Verify Euler's formula for the following 3D shape:

Answer 1

According to Euler's formula:

• $E$ represents the total number of edges of the figure.
• $F$ represents the total number of faces of the figure.
• $V$ represents the total number of vertices of the figure.

Hence on counting we get,
Edges $=17$
Faces $=9$
Vertices $=10$
Now we know Euler's formula says;
F + V = E + 2
$\to$ 9 + 10 = 17 + 2
$\to$ 19 = 19
As L.H.S. = R.H.S.
$\therefore$ Euler's formula is verified.