document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800671>Question 800671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find possible dimensions for a closed box with volume 256 cubic inches, surface area 352 square inches, and length that is twice the width. <BR>\n" );
document.write( "The width of the box in inches can be___.\r<BR>\n" );
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document.write( "I started by using the first equation given to help me solve the problem<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V=%282w%5E2H%29%2F2W%5E2 ALIGN=MIDDLE  ALT=\"+V=%282w%5E2H%29%2F2W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128%2Fw%5E2=H ALIGN=MIDDLE  ALT=\"128%2Fw%5E2=H\"   DISABLED_style= \"max-width:90%; height:auto;\" > so... S=2LW+2WH+2LH...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282w%29w%2B2w%28128%2Fw%5E2%29%2B2%282w%29%28128%2Fw%5E2%29 ALIGN=MIDDLE  ALT=\"2%282w%29w%2B2w%28128%2Fw%5E2%29%2B2%282w%29%28128%2Fw%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then i got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2%2B%28256%2Fw%29%2B%28512%2Fw%29 ALIGN=MIDDLE  ALT=\"4w%5E2%2B%28256%2Fw%29%2B%28512%2Fw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >i don't know how to simplify this any more. But, i was told i needed to graph it, then whatever the x-intercepts are becomes the answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483191 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=L%2AW%2Ah+ ALIGN=MIDDLE  ALT=\"V+=L%2AW%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=256in%5E3 ALIGN=MIDDLE  ALT=\"V+=256in%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2W ALIGN=MIDDLE  ALT=\"L=2W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, you have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256in%5E3+=2W%2AW%2Ah+ ALIGN=MIDDLE  ALT=\"256in%5E3+=2W%2AW%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256in%5E3+=2W%5E2%2Ah+ ALIGN=MIDDLE  ALT=\"256in%5E3+=2W%5E2%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256in%5E3%2F2W%5E2=h+ ALIGN=MIDDLE  ALT=\"256in%5E3%2F2W%5E2=h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128in%5E3%2FW%5E2=h+ ALIGN=MIDDLE  ALT=\"128in%5E3%2FW%5E2=h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >......height\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=2LW%2B2WH%2B2LH ALIGN=MIDDLE  ALT=\"S=2LW%2B2WH%2B2LH\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352in%5E2=2%2A2W%2AW%2B2W%28128in%5E3%2FW%5E2%29%2B2%2A2W%28128in%5E3%2FW%5E2%29 ALIGN=MIDDLE  ALT=\"352in%5E2=2%2A2W%2AW%2B2W%28128in%5E3%2FW%5E2%29%2B2%2A2W%28128in%5E3%2FW%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352in%5E2=4W%5E2%2B2cross%28W%29%28128in%5E3%2FW%5Ecross%282%29%29%2B4cross%28W%29%28128in%5E3%2FW%5Ecross%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352in%5E2=4W%5E2%2B2%28128in%5E3%2FW%29%2B4%28128in%5E3%2FW%29 ALIGN=MIDDLE  ALT=\"352in%5E2=4W%5E2%2B2%28128in%5E3%2FW%29%2B4%28128in%5E3%2FW%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352in%5E2=4W%5E2%2B256in%5E3%2FWin%2B512in%5E3%2FWin ALIGN=MIDDLE  ALT=\"352in%5E2=4W%5E2%2B256in%5E3%2FWin%2B512in%5E3%2FWin\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352in%5E2%2AW=4W%5E3%2B256in%5E2%2B512in%5E2 ALIGN=MIDDLE  ALT=\"352in%5E2%2AW=4W%5E3%2B256in%5E2%2B512in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=352in%5E2%2AW=4W%5E2%2B768in%5E2 ALIGN=MIDDLE  ALT=\"352in%5E2%2AW=4W%5E2%2B768in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W%5E3-352in%5E2%2AW%2B768in%5E2=0 ALIGN=MIDDLE  ALT=\"4W%5E3-352in%5E2%2AW%2B768in%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E3-88in%5E2%2AW%2B192in%5E2=0 ALIGN=MIDDLE  ALT=\"W%5E3-88in%5E2%2AW%2B192in%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-8%29%28W%5E2%2B8W-24%29+=+0 ALIGN=MIDDLE  ALT=\"%28W-8%29%28W%5E2%2B8W-24%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-8%29++=+0 ALIGN=MIDDLE  ALT=\"%28W-8%29++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=8in ALIGN=MIDDLE  ALT=\"W=8in\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....one solution\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B8W-24+=+0 ALIGN=MIDDLE  ALT=\"W%5E2%2B8W-24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A%28-24%29%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A%28-24%29%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-8+%2B-+sqrt%28+64%2B96%29%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-8+%2B-+sqrt%28+64%2B96%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-8+%2B-+sqrt%28+160%29%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-8+%2B-+sqrt%28+160%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-8+%2B-+12.65%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-8+%2B-+12.65%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "other solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-8+%2B+12.65%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-8+%2B+12.65%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....we need only positive value since the width cannot be negative value\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=4.65%2F2+ ALIGN=MIDDLE  ALT=\"W+=4.65%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=2.325in+ ALIGN=MIDDLE  ALT=\"W+=2.325in+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The width of the box in inches can be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=8in ALIGN=MIDDLE  ALT=\"W=8in\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=2.325in+ ALIGN=MIDDLE  ALT=\"W+=2.325in+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=8in ALIGN=MIDDLE  ALT=\"W=8in\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=16in ALIGN=MIDDLE  ALT=\"L=16in\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128in%5E3%2F64in%5E2=h+ ALIGN=MIDDLE  ALT=\"128in%5E3%2F64in%5E2=h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2in=h+ ALIGN=MIDDLE  ALT=\"2in=h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=2.325in+ ALIGN=MIDDLE  ALT=\"W+=2.325in+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4.65in ALIGN=MIDDLE  ALT=\"L=4.65in\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128in%5E3%2F5.4in%5E2=h+ ALIGN=MIDDLE  ALT=\"128in%5E3%2F5.4in%5E2=h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23.68in=h+ ALIGN=MIDDLE  ALT=\"23.68in=h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-20%2C+20%2C+-40%2C+10%2C+%28x-8%29%28x%5E2%2B8x-24%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-20%2C+20%2C+-40%2C+10%2C+%28x-8%29%28x%5E2%2B8x-24%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );