document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72440>Question 72440</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0716769018/algebrahomeworkh>For All Practical Purposes</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I asked this question a few days ago and haven't received an answer.  I hope to get it answered now.\r<BR>\n" );
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document.write( "Doll houses and their furnishings are usually built to scale of exactly 1 in to 1 ft, meaning that an item 1 ft long in a real house is 1 in long in a dollhouse.\r<BR>\n" );
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document.write( "a) What is the linear scaling factor for a dollhouse?\r<BR>\n" );
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document.write( "b) If a dollhouse were made of the same materials as a real house, how would their weights compare? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51763 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=51763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) The linear scaling factor for the dollhouse = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1inch%2F1foot ALIGN=MIDDLE  ALT=\"1inch%2F1foot\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1inch%2F12inch ALIGN=MIDDLE  ALT=\"1inch%2F12inch\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) Mass = Volume x Density\r<BR>\n" );
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document.write( "If a dollhouse were made of the same materials as a real house, then density of both houses will be same.\r<BR>\n" );
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document.write( "So, the one with larger volume will have larger weight.<BR>\n" );
document.write( "Ratio of volume of doll house to original house = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Scaling_Factor%29%5E3 ALIGN=MIDDLE  ALT=\"%28Scaling_Factor%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F12%29%5E3 ALIGN=MIDDLE  ALT=\"%281%2F12%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1728 ALIGN=MIDDLE  ALT=\"1%2F1728\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence the weight of the doll house is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1728 ALIGN=MIDDLE  ALT=\"1%2F1728\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the weight of the real house. </SPAN>\n" );
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