document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251907>Question 251907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answer as a common fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183607 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=183607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express your answer as a common fraction.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Volume is a function of the cube of the dimensions.<BR>\n" );
document.write( "1:64 volume ratio --> 1:4 dimension ratio<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Surface area is a function of the square.<BR>\n" );
document.write( "1:4 dimension ratio --> 1:16 surface area ratio<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Area of A is 1/16 the Area of B.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );