document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143854>Question 143854</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321227573/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM: VOLUME OF A BOX:<BR>\n" );
document.write( "A RECTANGULAR PIECE OF METAL IS 10 IN. LONGER THAN IT IS WIDE. SQUARES WITH SIDES 2 IN LONG ARE CUT FROM THE FOUR CORNERS, AND THE FLAPS ARE FOLDED UPWARD TO FORM AN OPEN BOX. IF THE VOLUME OF THE BOX IS 832 IN.^3, WHAT WERE THE ORIGINAL DIMENSIONS OF THE PIECE OF METAL? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104678 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start by letting the width of the metal sheet be x inches, then the length is x+10 inches.<BR>\n" );
document.write( "The volume of the box (832 cu.in.) will be calculated by the length (less 4 inches) times width (less 4 inches) times the height of the box (2 inches).<BR>\n" );
document.write( "We can write the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%28x-4%29%28x%2B10-4%29%282%29 ALIGN=MIDDLE  ALT=\"V+=+%28x-4%29%28x%2B10-4%29%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x%2B6%29%282%29+=+832 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x%2B6%29%282%29+=+832\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to simplify a bit.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x%2B6%29+=+416 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x%2B6%29+=+416\"   DISABLED_style= \"max-width:90%; height:auto;\" > Perform the multiplication.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x-24+=+416 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-24+=+416\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 416 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x-440+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-440+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor this quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B22%29%28x-20%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B22%29%28x-20%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-22 ALIGN=MIDDLE  ALT=\"x+=+-22\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+20 ALIGN=MIDDLE  ALT=\"x+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as the length cannot be a negative quantity.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+20 ALIGN=MIDDLE  ALT=\"x+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The original dimensions of the metal sheet are:<BR>\n" );
document.write( "Width = 20 inches and the length = 30 inches.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "The volumes is:<BR>\n" );
document.write( "(x-4)(x+6)(2)(2) = 832 Substitute x = 20.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-4%29%2820%2B6%29%282%29+=+832 ALIGN=MIDDLE  ALT=\"%2820-4%29%2820%2B6%29%282%29+=+832\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%29%2826%29%282%29+=+832 ALIGN=MIDDLE  ALT=\"%2816%29%2826%29%282%29+=+832\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=832+=+832 ALIGN=MIDDLE  ALT=\"832+=+832\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );