document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958126>Question 958126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A prism has a surface area of 350 mm2.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Find the surface area of a scaled image with a scale factor of 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585541 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=585541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> surface area is the sum of the areas of each face.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if you double the dimensions, you quadruple the area.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the surface area is 350 mm^2, and the scale factor is 2, then the surface area will be quadrupled to 1400 mm^2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for example:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let a rectangular prism have a length of L and a width of W and a height of H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The surface area of the prism will be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(2 * L * W) + (2 * L * H) plus (2 * W * H).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the scale factor is 2, then each dimension is multiplied by a factor of 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the surface area of the scaled prism will then be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(2 * 2 * L * 2 * W) + (2 * 2 * L + 2 * H) plus (2 * 2 * W * 2 * H).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify that equation and you get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the surface area of the scaled prism will be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(8 * L * W) + (8 * L * H) + (8 * W * H).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The surface area went from 2 * the area of each face to 8 * the area of each face.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "That's a scale factor of 8 / 2 = 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4 is equal to 2^2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The scale factor of the surface area is equal to the square of the scale factor of the dimensions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );