Question

Find the number of edges in a polyhedron which has 7 faces and 10 veetices

Answer 1

Step-by-step explanation:

Given:

No of faces F = 7

No of vertices V = 10

We need to find:

No of Edges E

By Euler's Formula we have:

F + V - E = 2

$\therefore \: 7 + 10 - E = 2 \\ \implies \: 17 - E = 2 \\ \implies \: 17 - 2= E \\ \implies \: \huge \fbox{E = 15} \\ Thus \: the \: number \: of \: edges \: in \: the \: \\ polyhedron \: is \: 15.$