document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359574>Question 359574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We took a quiz in the form of a PSSA writing prompt, the question was:<BR>\n" );
document.write( "\"A box with a square base and no lid is to be made from a square piece of metal by cutting 5cm squares from the corners and folding up the sides. If the volume of the box is 100cm cubed, find the dimensions of the square piece of metal. (Round to the nearest tenth.)\r<BR>\n" );
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document.write( "I received a poor grade because I used the wrong formula, and would like it if you could help me better understand how to get the correct answer? If not I will be attending school early to have a small conference with my teacher so that we may go over my quiz and evalute the appropriate answer.<BR>\n" );
document.write( "I would appreciate your help very much, here is my \"attempt.\":\r<BR>\n" );
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document.write( "V=11cm^3V=LxWxh<BR>\n" );
document.write( "h=5cm<BR>\n" );
document.write( "100cm^3=LxWx5cm<BR>\n" );
document.write( "L=x-10<BR>\n" );
document.write( "W=x-10<BR>\n" );
document.write( "100cm^3=(x-10)(x-10)5<BR>\n" );
document.write( "100cm^3=(x^2-10x-10x+100)5<BR>\n" );
document.write( "100cm^3=x^2-20x+100)5<BR>\n" );
document.write( "100cm^3=x^2-20x+105<BR>\n" );
document.write( "-100           -100<BR>\n" );
document.write( "0=x^2-20x+5<BR>\n" );
document.write( " (from here I could not factor so I went to the quadratic equation and got x=10 plus or minus sqrt (95) over 2) \r<BR>\n" );
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document.write( "I would appreciate your much needed help, Thank You for your time! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256576 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"A box with a square base and no lid is to be made from a square piece of metal by cutting 5cm squares from the corners and folding up the sides. If the volume of the box is 100cm cubed, find the dimensions of the square piece of metal. <BR>\n" );
document.write( "..<BR>\n" );
document.write( "let sides of plate be x cm<BR>\n" );
document.write( "5cm square is cut in the corners<BR>\n" );
document.write( "..<BR>\n" );
document.write( "the measure of the sides will reduce by 10 cm<BR>\n" );
document.write( "sides of box = x-10<BR>\n" );
document.write( "since it is folded at 5 cm the height will be 5 cm<BR>\n" );
document.write( "..<BR>\n" );
document.write( "the sides  of the square box will be (x-10)<BR>\n" );
document.write( "height = 5 cm<BR>\n" );
document.write( "Volume V = 100<BR>\n" );
document.write( "(x-10)(x-10)*5 = 100<BR>\n" );
document.write( "(x^2-20x+100)*5 = 100<BR>\n" );
document.write( "(x^2-20x+100) = 100/5<BR>\n" );
document.write( "x^2-20x+100=20<BR>\n" );
document.write( "x^2-20x+80=0<BR>\n" );
document.write( "use quadratic formula<BR>\n" );
document.write( "discriminant = 80<BR>\n" );
document.write( "x=(20+sqrt(80))/2<BR>\n" );
document.write( "=14.47 cm the length of the sheet metal<BR>\n" );
document.write( "..<BR>\n" );
document.write( "m.ananth@hotmail.ca\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );