document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104282>Question 104282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are going to make a box out of cardboard. The box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. How much cardboard do you need?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75887 by </B><A HREF=/tutors/aboutme.mpl?userid=mathnard><B>mathnard(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathnard><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=75887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer should be 275 square centimeters.  Here's why:\r<BR>\n" );
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document.write( "This is a surface area problem.\r<BR>\n" );
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document.write( "First, let me calculate the surface area of this box.  Let's assume that it is 10 cm tall, but that if you set it on a table, its base is 5 cm by 5 cm.  \r<BR>\n" );
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document.write( "Wouldn't you agree that the bottom and top will each have an area of 25 sq. cm.?<BR>\n" );
document.write( "And each of the 4 sides will have an area of 10x5 or 50 sq. cm.?\r<BR>\n" );
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document.write( "Bases + Sides = total surface area<BR>\n" );
document.write( "2(25)+4(50)=250 sq cm\r<BR>\n" );
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document.write( "Now we encounter trouble.  Apparently, some of the material was wasted while we made the box.  In fact, 10% of our final product.  Because of the way this problem was written, I am going to assume that we mean 10% of the 250 square centimeters was how much cardboard was wasted.  This would mean that 0.10(250) or 25 square centimeters of cardboard was wasted.  \r<BR>\n" );
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document.write( "Altogether, we would have 250+25 (or 275) square centimeters of cardboard needed.\r<BR>\n" );
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document.write( "This should be the correct answer, but IF your teacher MEANT to say that in the process, 10% of the ORIGINAL amount of cardboard was wasted, we would need to set up an equation like this:\r<BR>\n" );
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document.write( "0.90(x)=250\r<BR>\n" );
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document.write( "In other words, if 10% was wasted, then 90% is still there.  <BR>\n" );
document.write( "90% of the original amount (x) is equal to 250.\r<BR>\n" );
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document.write( "If this is what your teacher meant, then the answer would be 250/0.90 or <BR>\n" );
document.write( "277.8 square centimeters. </SPAN>\n" );
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