document.write( "Question 1172379: How many vertices are of a polyhedron having 12 faces and 17 edges? \n" ); document.write( "
Algebra.Com's Answer #797389 by ikleyn(52798)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Use the Euler polyhedron formula\r\n" ); document.write( "\r\n" ); document.write( " F - E + V = 2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(Faces minus Edges plus Vertices equals 2).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Substitute here F = 12 and E = 17 :\r\n" ); document.write( "\r\n" ); document.write( " 12 - 17 + V = 2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You will get then\r\n" ); document.write( "\r\n" ); document.write( " V = 2 - 12 + 17 = 7. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " About Euler polyhedron formula, see this articles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.ams.org/publicoutreach/feature-column/fcarc-eulers-formula#:~:text=This%20theorem%20involves%20Euler's%20polyhedral,%2B%20F%20%2D%20E%20%3D%202.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://plus.maths.org/content/eulers-polyhedron-formula\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Euler_characteristic\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |