document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102391>Question 1102391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular box is completely filled with dice. Each die has a volume of 1cm^3. The length of the box is 3 cm greater than its width and its height is 5cm. Suppose the box holds at most 140 dice. What ate the possible dimensions of the box?\r<BR>\n" );
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document.write( "Hint: use the formula of a rectangular prism<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717101 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=717101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Dimensions, w+3, w, 5<BR>\n" );
document.write( "Volume, 140 cubic centimeters\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5w%28w%2B3%29=140 ALIGN=MIDDLE  ALT=\"5w%28w%2B3%29=140\"   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%28w%2B3%29=28 ALIGN=MIDDLE  ALT=\"w%28w%2B3%29=28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factors for 28 may be  1&28, 2&14, 4&7.\r<BR>\n" );
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document.write( "The 4 & 7 factorization looks like the right one.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w=4%2Cw%2B3=7%29 ALIGN=MIDDLE  ALT=\"system%28w=4%2Cw%2B3=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Width, 4 cm<BR>\n" );
document.write( "Length, 7 cm<BR>\n" );
document.write( "Height, 5 cm<BR>\n" );
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