Question

if a polyhedron has 10 faces and 12 vertices then how many edges is has ?

Answer 1

Euler's Formula: Vertices - Edges + Faces = 2

12 - edges + 10 = 2

edges = 12 + 10 - 2

edges = 20

Answer: There are 20 edges

Answer 2

According to the Euler’s formula, vertices- edges + faces=2,Given that vertices = 12, faces = 10 and we have to find the edges,

As per the formula, 12-edges+10=2,

Therefore, edges=12+10-2,

Finally, we have found edges = 20.

Hence, as per the Euler’s formula, the polyhedron has 10 faces,

12 vertices and thus it has been found that it has edges of 20.