document.write( "Question 231445: what is the maximum number of 4-cm cubes that can fit into abox which measures 15 cm by 10 cm by 18 cm \n" ); document.write( "
Algebra.Com's Answer #171281 by Theo(13342)![]() ![]() You can put this solution on YOUR website! You have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "height = 15 cm. \n" ); document.write( "width = 10 cm. \n" ); document.write( "depth = 18 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take 4 cm cubes and lay them in the bottom of the box.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You get 2 cubes wide by 4 cubes deep by 1 cube high.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You do this with 8 cubes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lay another layer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's another 8 cubes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lay another layer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That's another 8 cubes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All together you havre 24 cubes in the container.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That's 3 cubes * 2 cubes * 4 cubes = 24 cubes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can't put anymore in because 15 inch cube height / 4 = 3 plus a fraction, and 10 / 4 = 2 plus a fraction, and 18 / 4 = 4 plus a fraction, and fractions are not allowed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total square cm you have used is 12 * 8 * 16 = 1536.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total square cm in the container is 15 * 10 * 18 = 2700.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The difference is empty space.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |