A solid has twelve more edges than faces. How many vertices does it have?
Dear Student,
Let,
Faces= F, Vertices= V and Edges= E
Here,
we have: E = F+12
Now, according to Euler's Formula:
V-E+F=2
V-(F+12)+F=2
V-F-12+F=2
V-12=2
V=14
Regards.
Let,
Faces= F, Vertices= V and Edges= E
Here,
we have: E = F+12
Now, according to Euler's Formula:
V-E+F=2
V-(F+12)+F=2
V-F-12+F=2
V-12=2
V=14
Regards.