document.write( "Question 957832: The inside Dimensions of a box are 2 by 3 by 4 ft. Find the dimensions of a packing box of the same shape which will hold 8 times as much. \n" ); document.write( "
Algebra.Com's Answer #585333 by Theo(13342)![]() ![]() You can put this solution on YOUR website! a box that will hold 8 times as much by volume would need to be double the dimensions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it would have to be 4 by 6 by 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of a 2 by 3 by 4 box is 2 * 3 * 4 = 24 cubic feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the volume of a 4 by 6 by 8 box is 4 *6 * 8 = 192 cubic feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "192 cubic feet / 24 cubic feet is equal to 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the 192 cubic foot box is 8 times as large as the 24 cubic foot box.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in a 3 dimensional figure, if the dimensions are doubled, then the volume is multiplied by 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "normal dimensions are x * y * z.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "doubled dimensions are 2x * 2y * 2z which is the same as 8 * x * y * z.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |