document.write( "Question 547674: An open box is to be constructed from a square piece of sheet metal by removing 1 ft from each corner and turning up the edges. If the box is to hold 4 cubic feet, what should the dimensions of the sheet metal? \n" ); document.write( "
Algebra.Com's Answer #356485 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the side of the square sheet be x\r \n" ); document.write( "\n" ); document.write( "1 ft cut from corners \n" ); document.write( "so side = (x-2)\r \n" ); document.write( "\n" ); document.write( "side = (x-2) \n" ); document.write( "height =1\r \n" ); document.write( "\n" ); document.write( "Volume = (x-2)(x-2)*1 \n" ); document.write( "4=(x-2)^2 \n" ); document.write( "4=x^2-4x+4 \n" ); document.write( "x^2-4x=0 \n" ); document.write( "x(x-4)=0 \n" ); document.write( "x=4 the eheet metal should be 4 by 4 ft \n" ); document.write( " |