document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202842>Question 202842</A>: <I><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "Decreasing cube. Each of the three dimensions of a<BR>\n" );
document.write( "cube with sides of length s centimeters is decreased by a<BR>\n" );
document.write( "whole number of centimeters. The new volume in cubic<BR>\n" );
document.write( "centimeters is given by<BR>\n" );
document.write( "V(s) = s3 - 13s2 + 54s - 72.<BR>\n" );
document.write( "a) Find V(10).<BR>\n" );
document.write( "b) If the new width is s - 6 centimeters, then what are the<BR>\n" );
document.write( "new length and height?<BR>\n" );
document.write( "c) Find the volume when s = 10 by multiplying the<BR>\n" );
document.write( "length, width, and height. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153040 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=153040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> V(s) = s^3 -13s^2 +52s-72<BR>\n" );
document.write( ".<BR>\n" );
document.write( "V(10) = (10)^3 -13(10)^2+54(10) -72<BR>\n" );
document.write( "V(10)= 1000-1300+540 -72<BR>\n" );
document.write( "V(10)= 168<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If  one  side  is  (s-6),,   divide  total  by  (s-6)  to  find multiple  of  2  remaining  sides<BR>\n" );
document.write( ".<BR>\n" );
document.write( ",,,6,,,,,,1,,,,-13,,,,+54,,,,-72<BR>\n" );
document.write( ",,,,,,,,,,,,,,,,,6,,,,-42,,,,+72<BR>\n" );
document.write( "__________________________________<BR>\n" );
document.write( ",,,,,,,,,,1,,,,,-7,,,,+12,,,,,0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(x-6)(x^2 -7x +12),,,,,,,,factor<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(x-6)(x-3)(x-4),,,,,,,,def  of  three  new  sides<BR>\n" );
document.write( ".<BR>\n" );
document.write( "@s=10,,,,(10-6)(10-3)(10-4),,,4*7*6 = 168,,,,ok </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );