Question

In a solid if $F=V=5$, then the number of edges in this shape is

• A. $6$
• B. $4$
• C. $8$
• D. $2$

Answer 1

The correct option is C

$8$

Explanation for the correct option:

Compute the number of edges

According to the Euler's formula, the relation between the number of faces $F$, vertices $V$, and edges $E$ for any solid is:

$F+V=E+2$

Since, it is given that $F=V=5$.

Therefore,

$$\begin{gathered} 5+5=E+2 \\ \Rightarrow 10=E+2 \\ \Rightarrow E=8 \end{gathered}$$

Hence, the number of edges in the given shape is $8$.

Therefore, option $C$ in the correct answer.