Question

What is the value of (E + F + V) for the given $3$-D structure?

• $E$ 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.

[2 Marks]

Answer 1

Here we have to find (E + F + V)

• $E$ 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 $=17$
[0.5 Marks]
Faces $=9$
[0.5 Marks]
Vertices $=10$
[0.5 Marks]
$\therefore E+F+V=17+9+10=36$
[0.5 Marks]