Question

Geometry HELP! euler formula for prism/pyramids (polyhedra)

Answer 1

plz give quick explanation why it works. i get the relationship between base polygon to edges and vertices. but this formula just does not look obvious to me :s

Answer 2

My notes has :

You may have noticed that the sum of the number of faces and vertices minus the number of edges will always equal two. Leonhard Euler, an esteemed 18th-century mathematician, discovered this relationship and put together the following formula, which summarizes the relationship that exists between the faces (F), vertices (V), and edges (E) of any polyhedron that doesn't intersect itself.

Euler's Formula

F + V - E = 2

Answer 3

this link will help you so much
http://plus.maths.org/content/eulers-polyhedron-formula

Answer 4

thanks im checking

Answer 5

ok!!!!!!then reply me

Answer 6

yea that link looks cool thank you

Answer 7

@mayankdevnani ?

Answer 8

thnx........ @sara12345

Answer 9

yea it works.. . i dont see the logic flow of why it works @Lethal

Answer 10

Try to see it in a planar way first.....