Question

If a figure has elght vertices and 12 edges, how many faces does it have? 10
8
6
4

Answer 1

It would have 6 faces

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;

....[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;

⇒

Subtract 6 from both sides we have;

f = 6