document.write( "Question 238159: The volume of a box is 32m^3, to reduce cost the box is to have minimum surface area. It is a square box with no top. What dimensions(height, length, width) should the box have? \n" ); document.write( "

Algebra.Com's Answer #175223 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The volume of a box is 32m^3, to reduce cost the box is to have minimum surface area. It is a square box with no top.
\n" ); document.write( "What dimensions(height, length, width) should the box have?
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\n" ); document.write( "If it is square, they would all dimensions have to be the same, right?
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\n" ); document.write( "Let x = the sides and height of the square box
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\n" ); document.write( "x^3 = 32
\n" ); document.write( "x = $\"32%5E%281%2F3%29\"$
\n" ); document.write( "x ~ 3.1748 meters
\n" ); document.write( ":
\n" ); document.write( "If just the bottom is square, the height can be determined for minimum surface area. If that is what you mean, let me know and we can calculate that. \n" ); document.write( "

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