Question

4. Using Euler's formula, find the values of a, b, c and d.
Faces
5206
Vertices 16b 12 a
Edges 12 9
12​

Answer 1

Answer:

a=8 , b=6 , c=30 , d=8.

Step-by-step explanation:

(a)- a+6=12+2

a+6=14

a=14-6

a=8.

(b)- 5+b=9+2

5+b=11

b=11-5

b=6.

(c)- 20+12=c+2

32=c+2

32-2=c

c=30.

(d)- 6+d=12+2

6+d=14

d=14-6

d=8.

Euler's formula 》 Face+Vertex=Edge+2

{F+V=E+2}.