document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=576346>Question 576346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quadratic Functions: Construction: A box is being constructed by cutting 2-inch squares from the corners of the square sheet of metal. If the box is to have a volume of 1058 cubic inches, find the dimensions of the metal sheet. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369930 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's say that the sides of the original square sheet of metal measured x inches.<BR>\n" );
document.write( "As you cut those 2 inch by 2 inch squares from the corners, you are left with a center square surrounded by rectangular flaps 2 inches wide, that will fold up to make the sides of the box.<BR>\n" );
document.write( "The middle part that will be the bottom of the box is a square with sides measuring (x-4) inches.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C300%2C+-3%2C30%2C-3%2C30%2C%0D%0Arectangle%280%2C0%2C27%2C27%29%2C%0D%0Ared%28line%282%2C0%2C2%2C2%29%29%2Cred%28line%282%2C2%2C0%2C2%29%29%2Cred%28line%2825%2C0%2C25%2C2%29%29%2Cred%28line%2825%2C2%2C27%2C2%29%29%2C%0D%0Ared%28line%282%2C25%2C2%2C27%29%29%2Cred%28line%282%2C25%2C0%2C25%29%29%2Cred%28line%2825%2C25%2C25%2C27%29%29%2Cred%28line%2825%2C25%2C27%2C25%29%29%2C%0D%0Agreen%28rectangle%282%2C2%2C25%2C25%29%29%2C%0D%0Alocate%280.5%2C25%2C2%29%2Clocate%2825.5%2C25%2C2%29%2Clocate%2812%2C25%2Cx-4%29%2C%0D%0Alocate%2813%2C0%2Cx%29%2C+arrow%2813%2C-1%2C0%2C-1%29%2Carrow%2813.8%2C-1%2C27%2C-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > The volume of the box is the surface area of the green base<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-4%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28x-4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29 ALIGN=MIDDLE  ALT=\"%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28x-4%29%5E2=1058 ALIGN=MIDDLE  ALT=\"2%2A%28x-4%29%5E2=1058\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2=1058%2F2=529 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2=1058%2F2=529\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=sqrt%28529%29=23 ALIGN=MIDDLE  ALT=\"x-4=sqrt%28529%29=23\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=23 ALIGN=MIDDLE  ALT=\"x-4=23\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=23%2B4 ALIGN=MIDDLE  ALT=\"x=23%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=27%29 ALIGN=MIDDLE  ALT=\"highlight%28x=27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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