document.write( "Question 402316: write an equation using f for the number of faces, e for the number of edges and v for the number of vertices.\r
\n" );
document.write( "\n" );
document.write( "What is the relationship of the number of edges and the number of vertices in a cube? \n" );
document.write( "
Algebra.Com's Answer #284762 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! There is a formula named after Euler that says that F + V - E = 2, for any polyhedron. A cube has six faces, eight vertices, and twelve edges, and satisfies, since 6 + 8 - 12 = 2. An interesting fact is that Euler's formula can be applied to higher dimensions, including 4-, 5-, ... dimensional manifolds. \n" ); document.write( " |