Question

A polyhedron has 24 edges and 12 vertices. how many faces does it have​

Answer 1

ANSWER

14 faces

EXPLANATION

The relation between the number of faces, the number of vertices and the number of edges a polyhedron has is given by the formula,

F+V=E+2.

It was given that, the number of edges is

E=24 and the number of vertices is

V=12.

We substitute the values into the formula to find F, the number of faces.

F+12=24+2

Group similar terms,

F=24+2-12

F=14.

Hence the polyhedron has 14 faces.