document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=14771>Question 14771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem, Thanks!\r<BR>\n" );
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document.write( "A box without a top is to be constructed from a square metal sheet by cutting 3 square centimeters from each corner of the sheet and <BR>\n" );
document.write( "bending up the sides. Find the size of the original square if the volume of<BR>\n" );
document.write( "the constructed box is to be 867 cubic centimeters.<BR>\n" );
document.write( "(Hint: the volume is given by V = L.W.H)\r<BR>\n" );
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document.write( "Thanks again!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7371 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=7371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the length of the side of the bottom of the box = x cm.<BR>\n" );
document.write( "The height of the box is 3 cm.\r<BR>\n" );
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document.write( "Using the formula for the volume: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=867+=+3x%5E2 ALIGN=MIDDLE  ALT=\"867+=+3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=289+=+x%5E2 ALIGN=MIDDLE  ALT=\"289+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "x = +/-17 cm. You can discard the negative root and use only the positive root since length can't be a negative quantity.\r<BR>\n" );
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document.write( "Answer: 17 cm. This is the length of the side of the bottom of the box.  Now add the 2 corners that were cut out to make the sides of the box (2 X 3 cm) to get the length of the sides of the original square. \r<BR>\n" );
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document.write( "17 + 2(3) = 23 cm.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "V = 3(17)^2 = 3(289) = 867\r<BR>\n" );
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document.write( "There is one additional step needed to answer the question:  \"What is the size of the original square?\"\r<BR>\n" );
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document.write( "The 17 cm found above is the length of the side of the original square minus the the 3-cm corners cut out. Since we cut out two corners on each side, we have to add 2(3 cm) to the 17 cm to get 23 cm for the side of the original square. </SPAN>\n" );
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