document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190641>Question 1190641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a shipping carton has the shape of a right triangular prism. the length of the carton is 5 times the shorter leg of the right triangular base. the longer leg of the base is 1.5 times the shorter leg. if the volume of the carton is 6480 cubic inches, what is the length of the carton </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822564 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a shipping carton has the shape of a right triangular prism. the length of the carton is 5 times the shorter leg of the right triangular base. the longer leg of the base is 1.5 times the shorter leg. if the volume of the carton is 6480 cubic inches, what is the length of the carton<BR>\n" );
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document.write( "x = short leg<BR>\n" );
document.write( "L = 5x<BR>\n" );
document.write( "y = longer leg = 1.5x<BR>\n" );
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document.write( "Volume = Area of triangle * length<BR>\n" );
document.write( "Area = (x*y/2)<BR>\n" );
document.write( "Vol = (x*1.5x/2)*5x = 6480<BR>\n" );
document.write( "Multiply by 4<BR>\n" );
document.write( "3x^2*5x = 25920<BR>\n" );
document.write( "15x^3 = 25920<BR>\n" );
document.write( "x^3 = 1728<BR>\n" );
document.write( "x = 12<BR>\n" );
document.write( "Length = 60 inches<BR>\n" );
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