document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231456>Question 231456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the length of each edge of a cube is increased by 75%, by what percent is the surface area of the original cube increased? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171300 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=171300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Surface area of the original cube is equal to 6 * s^2\r<BR>\n" );
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document.write( "If you increase each s by 75%, then each s becomes 1.75 * s.\r<BR>\n" );
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document.write( "The surface area then becomes 6 * (1.75 * s)^2\r<BR>\n" );
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document.write( "This is equivalent to 6 * 1.75^2 * s^2.\r<BR>\n" );
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document.write( "This equals to 18.375 * s^2\r<BR>\n" );
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document.write( "Since the original surface area equals 6 * s^2, and the new surface area = 18.375 * s^2, then the new surface area is equal to 3.0625 times the original surface area.\r<BR>\n" );
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document.write( "This would be 306.25% of the original surface area which would be an increase of 206.5% of the original surface area.\r<BR>\n" );
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document.write( "To see if this is accurate, use some numbers and see if the percentages work out.\r<BR>\n" );
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document.write( "Let s = 15\r<BR>\n" );
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document.write( "6 * 15^2 = a surface area of 1350.\r<BR>\n" );
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document.write( "Increase s by 75%.\r<BR>\n" );
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document.write( "s goes from 15 to 15 + .75 * 15 = 26.25\r<BR>\n" );
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document.write( "New Surface area is 26.25^2 * 6 = 4134.375\r<BR>\n" );
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document.write( "Divide 4134.375 by 1350 to get 3.0625\r<BR>\n" );
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document.write( "4134.375 is equal to 3.0625 times 1350 which is an increase of 206.25%\r<BR>\n" );
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document.write( "Take 206.25% of 1350 and add it to 1350 to get 4134.375.\r<BR>\n" );
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document.write( "It all checks out.\r<BR>\n" );
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document.write( "Your answer is that the surface area of the original cube is increased by 206.25%\r<BR>\n" );
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document.write( " </SPAN>\n" );
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