document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212412>Question 212412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please could someone help me with this question?\r<BR>\n" );
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document.write( "A tea connoisseur has a collection of teapots that are scaled versions of the same design. The one-cup teapot is 10cm high. Choose the TWO options that are true statements.<BR>\n" );
document.write( "A  The two-cup teapot is 20cm high<BR>\n" );
document.write( "B  The eight-cup teapot is 20cm high.<BR>\n" );
document.write( "C  The nine-cup teapot is 30cm high.<BR>\n" );
document.write( "D  The 25cm high teapot is appropriate to make 20 cups of tea.<BR>\n" );
document.write( "E  The 16cm teapot is appropriate to make 4 cups of tea.\r<BR>\n" );
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document.write( "Thank you very much<BR>\n" );
document.write( "Dawn </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160411 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The amount of tea is a volume. So, in order to scale, each of three dimensions must scale in the same ratio as the single dimension you are given.\r<BR>\n" );
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document.write( "All that ends up saying is \"the change in volume is the cube of the change in a single dimension\".\r<BR>\n" );
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document.write( "For instance, if the pot is changed from 10cm to 20cm, then the scale has doubled. So you need to cube that to get the volume. Thus, a 20cm high pot will brew <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2F10%29%5E3 ALIGN=MIDDLE  ALT=\"%2820%2F10%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > cups.<BR>\n" );
document.write( "A 30cm high pot will brew <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830%2F10%29%5E3+=+27 ALIGN=MIDDLE  ALT=\"%2830%2F10%29%5E3+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" > cups\r<BR>\n" );
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document.write( "Do that same type of conversion and you can find the two answers that \"fit\". \r<BR>\n" );
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document.write( "If you can't get them, let me know. </SPAN>\n" );
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