Question

A polyhedron have 8 vertices and 12 edges how many faces of it are there

Answer 1

hii!!

here's ur answer...

we all know Euler's formula in which the results come 2.

given:-

vertices=8

edges=12

faces=?

by Euler's formula...

F+V-E=2

F+8-12=2

F+(-4)=2

F=2+4

F=6

VERIFICATION:-

=F+V-E

=6+8-12

=14-12

=2

HENCE VERIFIED.

THUS THE NO. OF FACES IN THAT POLYHEDRON IS 6.

HOPE THIS HELPS...

(^^)

Answer 2

F-E+V =2
Face-Edge+Vertices=2
F-12+8=2
F=2+12-8
F=2+4
F=6