Question

Using Euler’s formula find the unknown

x, y and z from the table given

below

Faces 8 y 4

Vertices x 10 6

Edges 18 15 z​

Answer 1

Eular’s formula:-F+V=E+2
1) =8+x=18+2
=x=20-8
=x=12
2) =y+10=15+2
=y=17-10
=y=7
3) =4+6=z+2
=z=10-2
=z=8