document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149518>Question 149518</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Charlie built a treasure box. Lucy build a treasure box with dimensions twice as large as Charlie's. If it takes one-half gallon of paint to vover the surface of Charlie's box, how many gallons of paint would it take to paint Lucy's box? How many times more volume will Lucy's box hold than Charlie's?<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 #109698 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=109698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bc%5D ALIGN=MIDDLE  ALT=\"L%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5Bc%5D ALIGN=MIDDLE  ALT=\"W%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Bc%5D ALIGN=MIDDLE  ALT=\"H%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the length width and height of Charlie's box.\r<BR>\n" );
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document.write( "So the volume of Charlie's box is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=L%5Bc%5D%2AW%5Bc%5D%2AH%5Bc%5D ALIGN=MIDDLE  ALT=\"V=L%5Bc%5D%2AW%5Bc%5D%2AH%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, the surface area of Charlie's box is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2%28L%5Bc%5D%2AW%5Bc%5D%2BL%5Bc%5D%2AH%5Bc%5D%2BW%5Bc%5D%2AH%5Bc%5D%29 ALIGN=MIDDLE  ALT=\"SA=2%28L%5Bc%5D%2AW%5Bc%5D%2BL%5Bc%5D%2AH%5Bc%5D%2BW%5Bc%5D%2AH%5Bc%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 2.\r<BR>\n" );
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document.write( "Now let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bl%5D ALIGN=MIDDLE  ALT=\"L%5Bl%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5Bl%5D ALIGN=MIDDLE  ALT=\"W%5Bl%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Bl%5D ALIGN=MIDDLE  ALT=\"H%5Bl%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the length width and height of Lucy's box.\r<BR>\n" );
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document.write( "Since Lucy's box has \" dimensions twice as large as Charlie's\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bl%5D=2L%5Bc%5D ALIGN=MIDDLE  ALT=\"L%5Bl%5D=2L%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5Bl%5D=2W%5Bc%5D ALIGN=MIDDLE  ALT=\"W%5Bl%5D=2W%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Bl%5D=2H%5Bc%5D ALIGN=MIDDLE  ALT=\"H%5Bl%5D=2H%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the volume of Lucy's box is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=2L%5Bc%5D%2A2W%5Bc%5D%2A2H%5Bc%5D ALIGN=MIDDLE  ALT=\"V=2L%5Bc%5D%2A2W%5Bc%5D%2A2H%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bl%5D=2L%5Bc%5D ALIGN=MIDDLE  ALT=\"L%5Bl%5D=2L%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5Bl%5D=2W%5Bc%5D ALIGN=MIDDLE  ALT=\"W%5Bl%5D=2W%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Bl%5D=2H%5Bc%5D ALIGN=MIDDLE  ALT=\"H%5Bl%5D=2H%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=8L%5Bc%5D%2AW%5Bc%5D%2AH%5Bc%5D ALIGN=MIDDLE  ALT=\"V=8L%5Bc%5D%2AW%5Bc%5D%2AH%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the volume of Lucy's box is 8 times larger than Charlie's box.\r<BR>\n" );
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document.write( "Also, the surface area of Lucy's box is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2%2AL%5Bl%5D%2AW%5Bl%5D%2B2%2AL%5Bl%5D%2AH%5Bl%5D%2B2%2AW%5Bl%5D%2AH%5Bl%5D ALIGN=MIDDLE  ALT=\"SA=2%2AL%5Bl%5D%2AW%5Bl%5D%2B2%2AL%5Bl%5D%2AH%5Bl%5D%2B2%2AW%5Bl%5D%2AH%5Bl%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2%28L%5Bl%5D%2AW%5Bl%5D%2BL%5Bl%5D%2AH%5Bl%5D%2BW%5Bl%5D%2AH%5Bl%5D%29 ALIGN=MIDDLE  ALT=\"SA=2%28L%5Bl%5D%2AW%5Bl%5D%2BL%5Bl%5D%2AH%5Bl%5D%2BW%5Bl%5D%2AH%5Bl%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2%282L%5Bc%5D%2A2W%5Bc%5D%2B2L%5Bc%5D%2A2H%5Bc%5D%2B2W%5Bc%5D%2A2H%5Bc%5D%29 ALIGN=MIDDLE  ALT=\"SA=2%282L%5Bc%5D%2A2W%5Bc%5D%2B2L%5Bc%5D%2A2H%5Bc%5D%2B2W%5Bc%5D%2A2H%5Bc%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bl%5D=2L%5Bc%5D ALIGN=MIDDLE  ALT=\"L%5Bl%5D=2L%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5Bl%5D=2W%5Bc%5D ALIGN=MIDDLE  ALT=\"W%5Bl%5D=2W%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Bl%5D=2H%5Bc%5D ALIGN=MIDDLE  ALT=\"H%5Bl%5D=2H%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2%284L%5Bc%5D%2AW%5Bc%5D%2B4L%5Bc%5D%2AH%5Bc%5D%2B4W%5Bc%5D%2AH%5Bc%5D%29 ALIGN=MIDDLE  ALT=\"SA=2%284L%5Bc%5D%2AW%5Bc%5D%2B4L%5Bc%5D%2AH%5Bc%5D%2B4W%5Bc%5D%2AH%5Bc%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=8%28L%5Bc%5D%2AW%5Bc%5D%2BL%5Bc%5D%2AH%5Bc%5D%2BW%5Bc%5D%2AH%5Bc%5D%29 ALIGN=MIDDLE  ALT=\"SA=8%28L%5Bc%5D%2AW%5Bc%5D%2BL%5Bc%5D%2AH%5Bc%5D%2BW%5Bc%5D%2AH%5Bc%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 4 and multiply it by the outer term 2\r<BR>\n" );
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document.write( "So the surface area of Lucy's box is 8 times the surface area of Charlie's box. So she needs 8 times more paint than Charlie.\r<BR>\n" );
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document.write( "So simply multiply the amount of paint that Charlie uses (one half gallons) by 8 to get\r<BR>\n" );
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document.write( "So she needs 4 gallons of paint to cover her box.<BR>\n" );
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