document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169865>Question 169865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s) = s^3 -13s^2 +54s - 72.\r<BR>\n" );
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document.write( "a) Find V(10).\r<BR>\n" );
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document.write( "b) If the new width is s - 6 centimeters, then what are the new length and height?\r<BR>\n" );
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document.write( "c) Find the volume when s = 10 by multiplying the length, width, and height.\r<BR>\n" );
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document.write( "Can someone please help me with this problem. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125277 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=125277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s) = s^3 -13s^2 +54s - 72. <BR>\n" );
document.write( "a) Find V(10). <BR>\n" );
document.write( "Sub 10 for s<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) = 1540 - 1372 = 168 cc<BR>\n" );
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document.write( "b) If the new width is s - 6 centimeters, then what are the new length and height?<BR>\n" );
document.write( "The product of L x H = (s^3 -13s^2 +54s - 72)/(s-6) = s^2 - 7s + 12<BR>\n" );
document.write( "Since that's integers, that's (s-3)*(s-4).  There's no way to know which is L and which is H.<BR>\n" );
document.write( "c) Find the volume when s = 10 by multiplying the length, width, and height. <BR>\n" );
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document.write( "?? Wasn't that part a? Maybe it means:<BR>\n" );
document.write( "(10-6)*(10-3)*(10-4)<BR>\n" );
document.write( "= 4*7*6<BR>\n" );
document.write( "= 168 cc<BR>\n" );
document.write( "Must be, it matches.<BR>\n" );
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