document.write( "Question 1187361: 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
\n" ); document.write( "\n" ); document.write( "1) Determine outside surface of cube in sq. yds.\r
\n" ); document.write( "\n" ); document.write( "2)If the outside surface of cube was divided into 30 trillion pieces, determine outside surface in sq. yds.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Unsure how to solve.
\n" ); document.write( "

Algebra.Com's Answer #853057 by ikleyn(53422)\"\" \"About 
You can put this solution on YOUR website!
# 1187361 (KMST)
\n" ); document.write( "The human body contains approx. 30 trillion red blood cells. If these cells were placed tightly together,
\n" ); document.write( "they would fit into a cube approx. 5 in. on each edge.
\n" ); document.write( "1) Determine outside surface of cube in sq. yds.
\n" ); document.write( "2)If the outside surface of cube was divided into 30 trillion pieces, determine outside surface in sq. yds.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        In this post, the problem is formulated incorrectly.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        It is also incorrectly interpreted, incorrectly treated and incorrectly solved by the other tutor.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The meaning of the problem is totally different, and after proper solution\r
\n" ); document.write( "\n" ); document.write( "        the answer will shock you, because it will disclose absolutely unexpected phenomena.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The correct formulation is (and should be) as follows\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                 The human body contains approx. 30 trillion red blood cells. If these cells were placed tightly together, \r
\n" ); document.write( "\n" ); document.write( "                 they would fit into a cube approx. 5 in. on each edge.\r
\n" ); document.write( "\n" ); document.write( "                     1) Determine outside surface area of cube in sq. yds.\r
\n" ); document.write( "\n" ); document.write( "                     2) If the volume of cube was divided into 30 trillion pieces/(small cubes), determine their total \r
\n" ); document.write( "\n" ); document.write( "                         outside surface area in sq. yds.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                                  S O L U T I O N,   step by step\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "(1)  surface area of the cube with the side 5 inches is  \"6%2A5%5E2\" = 6*25 = 150 square inches.\r\n" );
document.write( "\r\n" );
document.write( "     It is the same as  \"150%2F%28%283%2A12%29%5E2%29\" = \"150%2F1296\" = 0.11574 sq. yards (approximately).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(2)  Now we are going to divide the 5x5x5-inches cube into 30 trillions smal cubes. \r\n" );
document.write( "\r\n" );
document.write( "         30 trillions = \"30%2A10%5E12\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     To find the linear size of small cube, we should divide 5 inches by  \"root%283%2C30%2A10%5E12%29\" = 31072.325.\r\n" );
document.write( "\r\n" );
document.write( "     By doing it, we get the size of small cube  s = \"5%2F31072.325\" = 0.000160915 inches.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Then the surface area of this small cube is  \"6s%5E2\"  square inches.  \r\n" );
document.write( "\r\n" );
document.write( "     It is very small area - - - but we have 30 trillions such small cubes,\r\n" );
document.write( "     so, to get the total surface area of these 30 trillions small cubes,\r\n" );
document.write( "     we should multiply  \"6s%5E2\"  by \"30%2A10%5E12\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     By doing it, we get for the total surface area the value\r\n" );
document.write( "\r\n" );
document.write( "        \"6%2A0.000160915%5E2%2A30%2A10%5E12\" = 4660848.759 square inches,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     which is the same as  \"4660848.759%2F%28%283%2A12%29%5E2%29\" = 3596.333919 square yards.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now the two values for the surface area to compare are  0.11574 square yards from part (1)\r\n" );
document.write( "and  3596.3 square yards from my last calculation.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It tells us that the surface area of the red blood cells in dispersed state (as it is in the live human body)\r\n" );
document.write( "is approximately 35000 times greater than the surface area of the 5x5x5-inches cube.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is that unexpected phenomena which I pointed at the beginning of my post,\r\n" );
document.write( "and it explains and discloses the fact that dispersed red blood cells distribute oxygen very effectively \r\n" );
document.write( "in the lungs and in all human's body.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "These facts are of common knowledge.\r\n" );
document.write( "I learned it in my 12 - 13 - 14 years, reading Children Encyclopedia on Biology.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I think that it should be clear to an analytical chemist @KMST as 2 x 2 x 2 = 8.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved to satisfy your curiosity.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );