document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187361>Question 1187361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The human body contains approx. 30 trillion red blood cells.  If these cells were placed tightly  together, they would fit into a cube approx. 5 in. on each edge.  \r<BR>\n" );
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document.write( "1) Determine outside surface of cube in sq. yds.\r<BR>\n" );
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document.write( "2)If the outside surface of cube was divided into 30 trillion pieces, determine outside surface in sq. yds.\r<BR>\n" );
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document.write( "Unsure how to solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818386 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the cube measures 5 inches on each edge.<BR>\n" );
document.write( "the volume of the cube is equal to 5^3 cubic inches = 125 cubic inches.<BR>\n" );
document.write( "the surface area of the cube is equal to 6 * 5^3 square inches = 150 square inches.\r<BR>\n" );
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document.write( "there are 12 inches to a foot.<BR>\n" );
document.write( "there are 36 inches to a yard (3 feet * 12 = 36 inches).<BR>\n" );
document.write( "if you take inches and divide them by 36, you get yards.<BR>\n" );
document.write( "if you take square inches and divide them by 36^2, you get square yards.<BR>\n" );
document.write( "if you take cubic inches and divide them by 36^3, you get cubic yards.\r<BR>\n" );
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document.write( "the volume = 125 cubic inches divided by 36^3 = .0026791830 cubic yards.<BR>\n" );
document.write( "the surface area = 6 * 25 = 125 square inches divided by 36^2 = .1157407407.\r<BR>\n" );
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document.write( "the cube holds 30 trillion red blood cells.<BR>\n" );
document.write( "that is equal to 30 * 10^12 red blood cells.<BR>\n" );
document.write( "that's  the volume of the cube in numbers of red blood cells.\r<BR>\n" );
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document.write( "since the volume of the cube is equal to one edge cubed, then each edge contains the cube root of 30 * 10^6 red blood cells.<BR>\n" );
document.write( "simplify that to get 31,072.32506 red blood cells per edge.\r<BR>\n" );
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document.write( "since the surface area of the cube is equal to 6 * one edge squared, then the surface area of the cube contains 6 * 31072.32506^2 = 5,792,936,308 red blood cells.\r<BR>\n" );
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document.write( "that should be everything i can calculate for the cube, except, perhaps, the ratio of red blood cells to yards.\r<BR>\n" );
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document.write( "we have one edge is equal to 5 inches which is equal to 31,072.32506 red blood cells<BR>\n" );
document.write( "take that and divide it by 5 and you get 6214.465012 red blood cells per inch.<BR>\n" );
document.write( "since 1 inch / 36 = /.02777777..... yards, then you get:<BR>\n" );
document.write( "6214.465012 / .0277777.... = . 223720.7404 red blood cells per yard.\r<BR>\n" );
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document.write( "we know from above that the volume of the cube is equal to .0026791830 cubic yards.<BR>\n" );
document.write( "1 cubic yard is equal to 223720.7402^3 = 1.119744 * 10^16 red blood cells.<BR>\n" );
document.write( "multiply that by .0026791830 to get a volume of 3 * 10^13 = 30 trillion red blood cells.\r<BR>\n" );
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document.write( "the figures work out (painfully, i might add), but they now look good.\r<BR>\n" );
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document.write( "best i can do.<BR>\n" );
document.write( "take what you can and let me know if you have any further questions.\r<BR>\n" );
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document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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