document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752845>Question 752845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the lengths of the sides of two cubes is 2:5. The smaller cube is 5 cm on one edge. to the nearest whole number of cubic units, what is the volume of the larger cube?\r<BR>\n" );
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document.write( "Having a problem with the ratio part. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458087 by </B><A HREF=/tutors/aboutme.mpl?userid=Okeke_Christian><B>Okeke_Christian(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Okeke_Christian><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=Okeke_Christian><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=458087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cube has all sides of equal lengths.\r<BR>\n" );
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document.write( "Ratio (Small:Big) = 2:5\r<BR>\n" );
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document.write( "Length of small = 5cm<BR>\n" );
document.write( "Length of big = (let's say) xcm\r<BR>\n" );
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document.write( "2:5=5:x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29=%285%2Fx%29 ALIGN=MIDDLE  ALT=\"%282%2F5%29=%285%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross Multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=25 ALIGN=MIDDLE  ALT=\"2x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2825%2F2%29 ALIGN=MIDDLE  ALT=\"x=%2825%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, length of big cube on each edge = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2F2%29cm ALIGN=MIDDLE  ALT=\"%2825%2F2%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But volume of cube = l^3<BR>\n" );
document.write( "Volume of Big cube = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2F2%29%5E3 ALIGN=MIDDLE  ALT=\"%2825%2F2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15625%2F8 ALIGN=MIDDLE  ALT=\"15625%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1953.125 ALIGN=MIDDLE  ALT=\"1953.125\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, volume of larger cube = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1953cm%5E3 ALIGN=MIDDLE  ALT=\"1953cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to nearest whole number of cubic units. </SPAN>\n" );
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