document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65854>Question 65854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, here's my question and what I've come up with so far, I think I'm overcomplicating it though.\r<BR>\n" );
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document.write( "A rectangular storage unit has dimension 1m by 2m by 3m. If each linear dimension is increased by the same amount:\r<BR>\n" );
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document.write( "a) what increase would result in a new storage unit with a volume 10 times its original?\r<BR>\n" );
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document.write( "I've come up with: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29%28x%2B2%29+%28x%2B3%29+=+10y+ ALIGN=MIDDLE  ALT=\"+%28x%29%28x%2B2%29+%28x%2B3%29+=+10y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "At this point I'm not sure how to proceed next I tried expanding it to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E3+%2B+5x%5E2+%2B+6x+%2B+0+=+10y+ ALIGN=MIDDLE  ALT=\"+x%5E3+%2B+5x%5E2+%2B+6x+%2B+0+=+10y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I learned about factors recently so I could try finding factors but the only factors of 0 are 0 so I think I'm making a mess of this word problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46613 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=46613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, here's my question and what I've come up with so far, I think I'm overcomplicating it though.\r<BR>\n" );
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document.write( "A rectangular storage unit has dimension 1m by 2m by 3m. If each linear dimension is increased by the same amount:\r<BR>\n" );
document.write( "\n" );
document.write( "a) what increase would result in a new storage unit with a volume 10 times its original?\r<BR>\n" );
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document.write( "First notice that the original volume is: 1(2)(3)=6m^3, so ten times that amount would be 10(6m^3)=60m^3<BR>\n" );
document.write( "If each linear dimension is increased by the same amount you'd have:<BR>\n" );
document.write( "(x+1)(x+2)(x+3)=60<BR>\n" );
document.write( "x^3+6x^2+11x+6=60<BR>\n" );
document.write( "x^3+6x^2+11x-54=0<BR>\n" );
document.write( "The factors you get to try are+-2,3,6,9,18,27,54<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B6x%5E2%2B11x-54%29%2F%28x-2%29=x%5E2%2B8x%2B27 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B6x%5E2%2B11x-54%29%2F%28x-2%29=x%5E2%2B8x%2B27\"   DISABLED_style= \"max-width:90%; height:auto;\" >  which is prime, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >m<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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