document.write( "Question 254915: A box has rectangular top, bottom, and sides. The top and bottom are square. The volume must be 6 cubic meters. Express the total surface area A of the box in terms of the height h (in meters) of the box.
\n" ); document.write( "A(h)= ______ m^2 \n" ); document.write( "
Algebra.Com's Answer #187217 by CharlesG2(834)\"\" \"About 
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A box has rectangular top, bottom, and sides. The top and bottom are square. The volume must be 6 cubic meters. Express the total surface area A of the box in terms of the height h (in meters) of the box.
\n" ); document.write( "A(h)= ______ m^2 \r
\n" ); document.write( "\n" ); document.write( "a rectangular box has 6 sides
\n" ); document.write( "top and bottom are squares so they have equal areas
\n" ); document.write( "V=s^2*h=6
\n" ); document.write( "s^2=6/h
\n" ); document.write( "s=sqrt(6/h)\r
\n" ); document.write( "\n" ); document.write( "area (A) of sides (will use w): 2*s^2 + 4*s*h
\n" ); document.write( " (2*6)/h + 4*h*sqrt(6/h)
\n" ); document.write( " 12/h + 4*h*6^(1/2)*h^(-1/2)
\n" ); document.write( " 12h + 4*6^(1/2)*h^2*h^(-1/2)
\n" ); document.write( " 12h + 4*sqrt(6)*h^(3/2)
\n" ); document.write( " 12h + 9.7980*h^(3/2) rounded to 4 places\r
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