document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886812>Question 886812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem: A box with no top is to be constructed from a piece of cardboard whose width measures x cm and whose length measures 6 cm more than its width. The box is to be formed by cutting squares that measure 2 cm on each side from the four corners, and then folding up the sides. If the volume of the box will be 182 cm^3, what are the dimensions of the piece of cardboard? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536189 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sides of the piece of cardboard, before<BR>\n" );
document.write( "cutting out the corners, are <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+6+ ALIGN=MIDDLE  ALT=\"+x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "After cutting out 2 x 2 squares from the corners,<BR>\n" );
document.write( "The sides measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+2+-+2+ ALIGN=MIDDLE  ALT=\"+x+-+2+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+6+-+2+-+2+ ALIGN=MIDDLE  ALT=\"+x+%2B+6+-+2+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+2+-+2+=+x+-+4+ ALIGN=MIDDLE  ALT=\"+x+-+2+-+2+=+x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+6++-+2+-+2+=+x+%2B+2+ ALIGN=MIDDLE  ALT=\"+x+%2B+6++-+2+-+2+=+x+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "When the 4 sides are folded up, the height of<BR>\n" );
document.write( "the box will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm, so I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+4+%29%2A%28+x+%2B+2+%29%2A2+=+182+ ALIGN=MIDDLE  ALT=\"+%28+x+-+4+%29%2A%28+x+%2B+2+%29%2A2+=+182+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x%5E2+-+4x+%2B+2x+-+8+%29%2A2+=+182+ ALIGN=MIDDLE  ALT=\"+%28+x%5E2+-+4x+%2B+2x+-+8+%29%2A2+=+182+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+4x+%2B+2x+-+8+=+91+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+4x+%2B+2x+-+8+=+91+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+2x+=+99+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+2x+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+2x+%2B+%28+2%2F2+%29%5E2+=+99+%2B+%28+2%2F2+%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+2x+%2B+%28+2%2F2+%29%5E2+=+99+%2B+%28+2%2F2+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+2x+%2B+1+=+99+%2B+1+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+2x+%2B+1+=+99+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+1+%29%5E2+=+10%5E2+ ALIGN=MIDDLE  ALT=\"+%28+x+-+1+%29%5E2+=+10%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+1+=+10+ ALIGN=MIDDLE  ALT=\"+x+-+1+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+11+ ALIGN=MIDDLE  ALT=\"+x+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+6+=+17+ ALIGN=MIDDLE  ALT=\"+x+%2B+6+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The piece of cardboard measures 11 x 17 cm2<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+4+%29%2A%28+x+%2B+2+%29%2A2+=+182+ ALIGN=MIDDLE  ALT=\"+%28+x+-+4+%29%2A%28+x+%2B+2+%29%2A2+=+182+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+11+-+4+%29%2A%28+11+%2B+2+%29%2A2+=+182+ ALIGN=MIDDLE  ALT=\"+%28+11+-+4+%29%2A%28+11+%2B+2+%29%2A2+=+182+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2A13%2A2+=+182+ ALIGN=MIDDLE  ALT=\"+7%2A13%2A2+=+182+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+182+=+182+ ALIGN=MIDDLE  ALT=\"+182+=+182+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );