document.write( "Question 250878: A rectangular fish tank is 2 feet high and has a volume of 48 feet cubed. What could be a possible set of whole number dimensions for the base of the tank? \n" ); document.write( "
Algebra.Com's Answer #182724 by Theo(13342)![]() ![]() You can put this solution on YOUR website! volume = height * area of base.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let v = volume, h = height, a = area of base.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v = h*a\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for a to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = v/h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v = 48 \n" ); document.write( "h = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 48/2 = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area of the base is 24 square inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24 = 1*24 = 2*12 = 3*8 = 4*6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "possible dimensions for the base where the dimensions are in whole numbers are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " length width\r\n" ); document.write( " 24 1\r\n" ); document.write( " 12 2\r\n" ); document.write( " 8 3\r\n" ); document.write( " 6 4\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |