Question

How many faces does a solid figure has, if their vertices is $13$ and edges is $24$?

• A. $12$
• B. $13$
• C. $14$
• D. $15$

Answer 1

The correct option is B $13$

Euler's polyhedron formula, $V-E+F=2$
$V$ $=$ number of vertices $=$ $13$
$E$ $=$ number of edges $=$ $24$
$F$ $=$ number of faces $=?$
Therefore, $13-24+F=2$
$\Rightarrow F=11+2$
$\Rightarrow F=13$
Number of faces $=$ $13$