Question

if a polyhedron has six faces and eight vertices,find the numbers of edge?

Answer 1

Answer:  12

Step-by-step explanation:

When we count the number of faces, vertices, and edges of a polyhedron we have an interesting thing:

The number of faces  (F) plus the number of vertices (V)  minus the number of edges (E) equals 2 i.e.

F + V - E = 2 ;  It is known as Euler's Formula.

Here, F = 6 and V = 8

so we get E = F + V - 2 = 6 + 8 -2 = 12

So the number of edges is 12. Hence the polyhedron is a cube.