document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193147>Question 193147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One dimension of a cube is increased by 1, another is decreased by 1, and the third is left unchanged. The volume of the new rectangular solid is 5 less than that of the cube. What is the volume of the cube?\r<BR>\n" );
document.write( "\n" );
document.write( "Please explain how to solve this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144994 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=144994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One dimension of a cube is increased by 1, another is decreased by 1, and the third is left unchanged. The volume of the new rectangular solid is 5 less than that of the cube. What is the volume of the cube? <BR>\n" );
document.write( "The volume of a cube (or rectangular solid) with sides a is<BR>\n" );
document.write( "abc<BR>\n" );
document.write( "V = a^3<BR>\n" );
document.write( "V-5 = (a-1)*(a+1)*a<BR>\n" );
document.write( "V-5 = a^3 - a<BR>\n" );
document.write( "a^3 - 5 = a^3 - a<BR>\n" );
document.write( "a = 5\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );