document.write( "Question 612912: How many boxes are there in a pyramid that has a base of 100 boxes? And why? \n" ); document.write( "
Algebra.Com's Answer #385790 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Base has 100 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1st level has 81 (since 10 - 1 = 9 and 9^2 = 81)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2nd level has 64 (since 8^2 = 64)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "etc etc\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we're adding the squares\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100+81+64+49+25+16+9+4+1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1+4+9+16+25+36+49+64+81+100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100+81+64+49+25+16+9+4+1 = 349\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1+4+9+16+25+36+49+64+81+100 = 349\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are 349 boxes total. \n" ); document.write( " |