Question

If a polyhedron has 14 vertices, 8 faces, then find the number of edges of the polyhedron.


Answer :

E=14

f =8
v =8
e =(?)

using Euler's formula
F+V-E=2
8+8-E=2
16-E=2
E=14​

Answer 1

Step-by-step explanation:

The polyhedron has 8 faces and 8 vertices.

From Euler's formula,

No. of edges, E=F+V−2

Substituting the values,

⇒E=8+8−2

⇒E=14

Answer 2

$\huge\mathcal{\fcolorbox{aqua}{azuer} {\blue{ ⚝Answer⚝}}}$

$Given \: \: that,$

$The \: polyhedron \: has  \: 8  \: faces \\ \: and  \:  vertices.$

$From \: Euler's \: formula,$

$No. \: of \: edges, E=F+V−2$

$Substituting \: the \: values,$

$⇒E=8+8−2$

$⇒E=14$