Question

Using Euler's formula, find the number of vertices for a given figure with 6 faces and 12 edges.

• A. 8
• B. 10
• C. 12
• D. 2

Answer 1

The correct option is A 8

Euler's polyhedron formula, $V-E+F=2$
$V$ = number of vertices = ?
$E$ = number of edges = $12$
$F$= number of faces = $6$
$V-12+6=2$
$V=6+2$
$V=8$
Number of vertices = $8$