document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264867>Question 264867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side of a cube is decreased by 50%. By how much does the volume decrease?<BR>\n" );
document.write( "(A) 12.5% (B) 25% (C) 50%  (D) 75%  (E) 87.5% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194887 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=194887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the volume of a cube is equal to s^3 = s*s*s\r<BR>\n" );
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document.write( "if you halve the volume, then the volume of the cube becomes (.5*s)^3.\r<BR>\n" );
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document.write( "(.5*s)^3 is the same as (.5)^3 * (s)^3 = .125*s^3.\r<BR>\n" );
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document.write( ".125 * 100% = 12.5%\r<BR>\n" );
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document.write( "The volume of the cube becomes 12.5% of the original volume.\r<BR>\n" );
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document.write( "The question is:\r<BR>\n" );
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document.write( "By how much does the volume decrease?\r<BR>\n" );
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document.write( "If you go from 100% of the volume to 12.5% of the volume, you have decreased by 87.5% of the original volume.\r<BR>\n" );
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document.write( "your answer would be selection E (87.5%).\r<BR>\n" );
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document.write( "As an example:\r<BR>\n" );
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document.write( "Assume the side of the cube is 4.\r<BR>\n" );
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document.write( "The volume is 4^3 = 4*4*4 = 64\r<BR>\n" );
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document.write( "Take half the side of the cube to get 2.\r<BR>\n" );
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document.write( "The volume of the cube is now 2^3 = 2*2*2 = 8.\r<BR>\n" );
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document.write( "8/64 = 1/8 = .125 * 100% = 12.5%.\r<BR>\n" );
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document.write( "The volume has decreased from 64 to 8 which is a decrease of 64 - 8 = 56.\r<BR>\n" );
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document.write( "56 / 64 = .875 * 100% = a decrease of 87.5% of the original volume.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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