document.write( "Question 586449: An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x. \n" ); document.write( "
Algebra.Com's Answer #373754 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. \n" ); document.write( "----- \n" ); document.write( "dimensions are 19-2x , 19-2x, and x \n" ); document.write( "---------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x. \n" ); document.write( "--- \n" ); document.write( "V = (19-2x)^2*x \n" ); document.write( "---- \n" ); document.write( "V = (361 - 78x + 4x^2)x \n" ); document.write( "---- \n" ); document.write( "V = 4x^3-78x^2+361x \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================= \n" ); document.write( " \n" ); document.write( " |