document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953652>Question 953652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> MATHEMATICS-GRADE 10 ASSIGNMENT\r<BR>\n" );
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document.write( "a brick-walled,fixed dog kennel in the form of a 15-units by 20-units by 10-units rectangular prism was built ,the roof was just a rectangular concrete slab.a 2units square entrance space was opened in the on the longer surface of the kennel. due to limited space at the compound ,pyramidal-wooden pigeon hall units high was built on top of the kennel. calculate the outer surface area of the rectangular kennel<BR>\n" );
document.write( "calculate the outer surface area of the pyramidal pigeonhole<BR>\n" );
document.write( "total surface area of the whole structure<BR>\n" );
document.write( "calculate the volume of the whole structure </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582424 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a brick-walled,fixed dog kennel in the form of a \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=15 ALIGN=MIDDLE  ALT=\"W=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >-units by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=20 ALIGN=MIDDLE  ALT=\"L=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >-units by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=10 ALIGN=MIDDLE  ALT=\"h=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >-units rectangular prism was built ,<BR>\n" );
document.write( "the roof was just a rectangular concrete slab=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=15 ALIGN=MIDDLE  ALT=\"W=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >-units by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=20 ALIGN=MIDDLE  ALT=\"L=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "all together is a rectangular prism, and the total surface area is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA+=+2+LW++%2B++2+Lh++%2B++2Wh+ ALIGN=MIDDLE  ALT=\"SA+=+2+LW++%2B++2+Lh++%2B++2Wh+\"   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+%2A20%2A15++%2B++2+%2A20%2A10++%2B++2%2A15%2A10+ ALIGN=MIDDLE  ALT=\"SA+=+2+%2A20%2A15++%2B++2+%2A20%2A10++%2B++2%2A15%2A10+\"   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+=+600+%2B++400++%2B++300+ ALIGN=MIDDLE  ALT=\"SA+=+600+%2B++400++%2B++300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA+=+1300+ ALIGN=MIDDLE  ALT=\"SA+=+1300+\"   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=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >units square entrance space was opened in the on the longer surface of the kennel<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=4 ALIGN=MIDDLE  ALT=\"a%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >units square entrance that should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=deducted ALIGN=MIDDLE  ALT=\"deducted\"   DISABLED_style= \"max-width:90%; height:auto;\" > from  the surface area of the rectangular prism\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA-a%5E2+=+1300-4=+1296 ALIGN=MIDDLE  ALT=\"SA-a%5E2+=+1300-4=+1296\"   DISABLED_style= \"max-width:90%; height:auto;\" > the surface area of the rectangular kennel\r<BR>\n" );
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document.write( "due to limited space at the compound , pyramidal-wooden pigeon hall units high was built on top of the kennel <BR>\n" );
document.write( "A rectangular pyramid is made up of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > rectangular base and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > triangles going up from the base to the top of the pyramid. <BR>\n" );
document.write( "The surface area is the area of all five parts added together.\r<BR>\n" );
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document.write( "in your case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > rectangular base is already part of  surface area of the rectangular kennel, so we need only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bp%5D ALIGN=MIDDLE  ALT=\"SA%5Bp%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > triangles , \r<BR>\n" );
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document.write( "note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of them have base length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > units and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of them have base length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" > units\r<BR>\n" );
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document.write( "so, we need higth (I do not see it is given for the pyramidal pigeonhole)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%281%2F2%29L%2Ah ALIGN=MIDDLE  ALT=\"2%2A%281%2F2%29L%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%281%2F2%29W%2Ah ALIGN=MIDDLE  ALT=\"2%2A%281%2F2%29W%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bp%5D=2%2A%281%2F2%2920%2Ah%2B2%2A%281%2F2%2915%2Ah ALIGN=MIDDLE  ALT=\"SA%5Bp%5D=2%2A%281%2F2%2920%2Ah%2B2%2A%281%2F2%2915%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bp%5D=20%2Ah%2B15%2Ah ALIGN=MIDDLE  ALT=\"SA%5Bp%5D=20%2Ah%2B15%2Ah\"   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%5Bp%5D=35%2Ah ALIGN=MIDDLE  ALT=\"SA%5Bp%5D=35%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, to calculate the outer surface area of the pyramidal pigeonhole we need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > and I can just do it using same higth as given for kennel <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=10 ALIGN=MIDDLE  ALT=\"h=10\"   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%5Bp%5D=35%2A10 ALIGN=MIDDLE  ALT=\"SA%5Bp%5D=35%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bp%5D=350 ALIGN=MIDDLE  ALT=\"SA%5Bp%5D=350\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "total surface area of the whole structure: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%2BSA%5Bp%5D=1296%2B350 ALIGN=MIDDLE  ALT=\"SA%2BSA%5Bp%5D=1296%2B350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%2BSA%5Bp%5D=1646 ALIGN=MIDDLE  ALT=\"SA%2BSA%5Bp%5D=1646\"   DISABLED_style= \"max-width:90%; height:auto;\" > squared units\r<BR>\n" );
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document.write( "calculate the volume of the whole structure:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bk%5D%2BV%5Bp%5D=20%2A15%2A10%2B%281%2F3%2920%2A15%2A10 ALIGN=MIDDLE  ALT=\"V%5Bk%5D%2BV%5Bp%5D=20%2A15%2A10%2B%281%2F3%2920%2A15%2A10\"   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%5Bk%5D%2BV%5Bp%5D=3000%2B%281%2F3%293000 ALIGN=MIDDLE  ALT=\"V%5Bk%5D%2BV%5Bp%5D=3000%2B%281%2F3%293000\"   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%5Bk%5D%2BV%5Bp%5D=4000 ALIGN=MIDDLE  ALT=\"V%5Bk%5D%2BV%5Bp%5D=4000\"   DISABLED_style= \"max-width:90%; height:auto;\" > cubic units\r<BR>\n" );
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document.write( " </SPAN>\n" );
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