document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883313>Question 883313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, how are you. I understand the concept of this question, however I don't understand why you would cross out the (l) when solving.<BR>\n" );
document.write( "For example: (10)(2)(L)=(5)(L)(W)<BR>\n" );
document.write( "20=5w<BR>\n" );
document.write( "Why was the (l) crossed out?<BR>\n" );
document.write( "Thank you so much!<BR>\n" );
document.write( "Tim has a rectangular prism with a length of 1.0 centimeters, a width of 2 centimeters, and an<BR>\n" );
document.write( "unknown height. He needs to build another rectangular prism with a length of 5 centimeters and<BR>\n" );
document.write( "the same height as the original prism. The volume of the two prisms will be the same. Find the<BR>\n" );
document.write( "width, in centimeters, of the new 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 #533441 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=533441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You confused some data between your example and your problem to solve.\r<BR>\n" );
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document.write( "Let volume v be a constant. Both prisms are volume v.\r<BR>\n" );
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document.write( "First Prism:<BR>\n" );
document.write( "L = 1.0<BR>\n" );
document.write( "w = 2<BR>\n" );
document.write( "h = unknown<BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=%281.0%29%282%29h ALIGN=MIDDLE  ALT=\"v=%281.0%29%282%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Second Prism:<BR>\n" );
document.write( "length, x = 5<BR>\n" );
document.write( "width, y = unknown<BR>\n" );
document.write( "h = unknown<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=xyh ALIGN=MIDDLE  ALT=\"v=xyh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=5%2Ay%2Ah ALIGN=MIDDLE  ALT=\"v=5%2Ay%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Observe I used somewhat different variables assignments than did you because I do not want confusion between dimensions of first and second prisms.  You have two equations and THREE unknowns.  This can make the question unsolvable.\r<BR>\n" );
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document.write( "We know v is the same for both prisms.  We also know that h is given as the same for both prisms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=highlight%281%2A2%2Ah=5%2Ay%2Ah%29 ALIGN=MIDDLE  ALT=\"v=highlight%281%2A2%2Ah=5%2Ay%2Ah%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The factor h on both sides of what became one equation is fortunate.\r<BR>\n" );
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document.write( "The factor 1 on the left side is no longer needed, because this number is the factor 1.  This is why it can be omitted NOW, for THIS EQUATION.  Multiplication by 1 does not change the meaning of an expression or number.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A2%2Ah=5%2Ay%2Ah ALIGN=MIDDLE  ALT=\"1%2A2%2Ah=5%2Ay%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2h=5yh ALIGN=MIDDLE  ALT=\"2h=5yh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2h%2F5h=5yh%2F5h ALIGN=MIDDLE  ALT=\"2h%2F5h=5yh%2F5h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29%28h%2Fh%29=5yh%2F5h ALIGN=MIDDLE  ALT=\"%282%2F5%29%28h%2Fh%29=5yh%2F5h\"   DISABLED_style= \"max-width:90%; height:auto;\" >, notice also that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Fh=1 ALIGN=MIDDLE  ALT=\"h%2Fh=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5=y%285%2F5%29%28h%2Fh%29 ALIGN=MIDDLE  ALT=\"2%2F5=y%285%2F5%29%28h%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which was defined or assigned as width of the second prism.\r<BR>\n" );
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document.write( "What really happened was that you missed seeing or forgot was the first prism length was 1.0 cm, NOT 10 cm.  You would have answered your question with maybe no trouble if you did not miss that. </SPAN>\n" );
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