Question

If a figure has eight vertices and 12 edges, how many faces does it have?

Answer 1

6 faces its a polyhedron

Answer 2

6 faces does it have

Explanation:

In any convex polyhedron:

let v be the number vertices , e is the number of edges and f is the number of faces then;

`v+f-2 = e` ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

`8+f-2 = 12`

⇒
`6+f = 12`

Subtract 6 from both sides we have;

f = 6

Therefore, 6 faces does it have