document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299128>Question 299128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm very bad at word problems and don't even know where to start so any help would be greatly appreciated. The question is...\r<BR>\n" );
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document.write( "A closed box with a square base is required to have a volume of 50 cubic feet. Express the amount A of material used to make such a box as a function of the length x of a side of the square base.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215053 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=215053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you say nothing about the height of the box, we'll let h = the height.<BR>\n" );
document.write( "The volume, V of such a box can be expressed by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+hx%5E2 ALIGN=MIDDLE  ALT=\"V+=+hx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is given as 50 cubic feet so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+=+hx%5E2 ALIGN=MIDDLE  ALT=\"50+=+hx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+50%2Fh ALIGN=MIDDLE  ALT=\"x%5E2+=+50%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The surface area of the box <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > will define how much material is required to fabricate the box.<BR>\n" );
document.write( "The box will have four equal faces (sides) and a top & bottom (both equal) for a total of six faces.<BR>\n" );
document.write( "We need to determine the area of each of these face and then find their sum to obtain the total surface area and, thus, the amount of material (A) required to fabricate the box.<BR>\n" );
document.write( "The top and bottom surfaces will each measure x times x for  a total surface area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft..<BR>\n" );
document.write( "The four equal faces will each measure x times h for a total surface area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4hx ALIGN=MIDDLE  ALT=\"4hx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the sum of these is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+2x%5E2%2B4hx ALIGN=MIDDLE  ALT=\"A+=+2x%5E2%2B4hx\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft.<BR>\n" );
document.write( "Now if the box is really a cube and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+x ALIGN=MIDDLE  ALT=\"h+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+6x%5E2 ALIGN=MIDDLE  ALT=\"A+=+6x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft. </SPAN>\n" );
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