Question

A solid has twelve more edges than faces. How many vertices does it have?

Answer 1

Answer:

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

Answer 2

Answer:

Faces - F , Vertices - V , Edges - E

Step-by-step explanation:

V-E+F=2

V-(F+12)+F=2

V-F-12+F=2

V-12=2

V=14