Question

If a polyhedron has 6 vertices and 12 edges. What is the number of faces it has?
1. 6
2. 12
3. 8
4. 18

Answer 1

Answer:

F=8. THEREFORE THE NUMBER OF FACES IS 8.

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Answer 2

Answer:

Option Is 3.

Step-by-step explanation:

Given: Vertices =6 , Edges =12

To find: Faces

$\color{darkcyan} \underline{ \begin{array}{ || |l| || } \hline \color{magenta} \\ \hline \boxed{ \text{ \tt \: Solution:-} } \end{array}}$

$\red{ \tt \implies \: F+V-E=2 \quad \text{(Euler's formula)}}$

$\color{darkviolet}\[ \begin{array}{l} \tt F=2+E-V \\ \tt F=2+12-6 \\ \boxed{ \tt F=8} \end{array} \]$

Hence, the answer is F=8 .