document.write( "Question 863452: The surface area of a certain cube is
\n" ); document.write( "600 square inches.
\n" ); document.write( "What is the new surface area of the cube if
\n" ); document.write( "the length of each edge is reduced by half
\n" ); document.write( "

Algebra.Com's Answer #520423 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
SA = 6s^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "600 = 6s^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "600/6 = s^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "100 = s^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "s^2 = 100\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "s = sqrt(100)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "s = 10\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the old cube has side lengths of 10 inches. Now reduce each edge by half to get 10*(1/2) = 5. The new cube has side lengths of 5 inches.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now compute the surface area of the smaller cube.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SA = 6s^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SA = 6*5^2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SA = 6*25\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SA = 150\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The new surface area is 150 square inches. Notice how this is 1/4 of the original surface area and how 1/4 = (1/2)^2
\n" ); document.write( "
\n" );