document.write( "Question 652470: an open-top box with a square base is to have a volume of 900 cubic feet.express the surface area of the box as a function of the length of one of the sides of the base? \n" ); document.write( "

Algebra.Com's Answer #408028 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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an open-top box with a square base is to have a volume of 900 cubic feet.
\n" ); document.write( "express the surface area of the box as a function of the length of one of the sides of the base?
\n" ); document.write( ":
\n" ); document.write( "let x = length of one side of the base
\n" ); document.write( "let h = the height of the box
\n" ); document.write( ":
\n" ); document.write( "Find h in terms of x
\n" ); document.write( "x^2 * h = 900 cu ft
\n" ); document.write( "h = $\"900%2Fx%5E2\"$
\n" ); document.write( ":
\n" ); document.write( "Surface area:
\n" ); document.write( "SA = x^2 + 4(xh)
\n" ); document.write( "replace h with $\"900%2Fx%5E2\"$
\n" ); document.write( "SA = x^2 + 4(x* $\"900%2Fx%5E2\"$ )
\n" ); document.write( "Cancel x
\n" ); document.write( "SA = x^2 + 4( $\"900%2Fx\"$ )
\n" ); document.write( "SA = x^2 + $\"3600%2Fx\"$ \n" ); document.write( "

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