document.write( "Question 1182459: If the bottom face of a pyramid has n sides, how many faces, edges, and vertices will it
\n" );
document.write( "have? \n" );
document.write( "
Algebra.Com's Answer #812506 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Draw a picture, at least in your mind.... \n" ); document.write( "Vertices: n sides on the base, so there are n vertices on the base; then just one more -- the peak of the pyramid. \n" ); document.write( "ANSWER: (n+1) vertices \n" ); document.write( "Edges: n sides of the base, each of which is an edge of the pyramid; then one edge from each of the n base vertices to the peak. \n" ); document.write( "ANSWER: n+n=2n edges \n" ); document.write( "Faces: the base, plus n triangular faces. \n" ); document.write( "ANSWER: (n+1) faces. \n" ); document.write( "Note those numbers satisfy the Euler formula: \n" ); document.write( "edges = faces plus vertices minus 2 \n" ); document.write( "2n = (n+1)+(n+1)-2 \n" ); document.write( " \n" ); document.write( " |