document.write( "Question 154261: An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and turning up the edges. If the box is hold to 864 cubic feet, what should be the dimensions of the sheet metal? \n" ); document.write( "
Algebra.Com's Answer #113559 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 6(x-12)(x-12)=864 \n" ); document.write( "6(x^2-24x+144)=864 \n" ); document.write( "6x^2-144x+864=864 \n" ); document.write( "6x^2-144x=0 \n" ); document.write( "6x(x-24)=0 \n" ); document.write( "x-24=0 \n" ); document.write( "x=24 feet for the sides of the square piece of sgheet metal. \n" ); document.write( "proof: \n" ); document.write( "6(24-12)(24-12)=864 \n" ); document.write( "6*12*12=864 \n" ); document.write( "864=864 \n" ); document.write( " |