document.write( "Question 231458: Twenty-seven congruent cubes are glued together to form a larger cube. All six faces of the larger cube are painted pink. What is the product of the number of small cubes that have a single pink face and the number of small cubes that have three pink faces? \n" ); document.write( "
Algebra.Com's Answer #171298 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 27 cubes glued together to form a larger cube.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The big cube is formed from 3 little cubes on each side.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 * 3 * 3 = 27 little cubes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is 1 cube in the middle with no faces exposed. \n" ); document.write( "There are 8 cubes on the corners with 3 faces exposed. \n" ); document.write( "There are 12 cubes on the edges with 2 faces exposed. \n" ); document.write( "There are 6 cubes in the middle of each side of the big cube that have only 1 face exposed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All the exposed faces have been painted pink.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The product of the number of cubes with 1 pink face and the number of cubes with 3 pink faces would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 * 6 = 48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |