document.write( "Question 1082925: A square sheet of pure bronze pad 100cm by 100cm will be materialized in creation of an open top cargo by cutting off a small square from each corners and bending up the sides. Determine how large the square should be cut from each corner in order to obtain the largest possible volume.
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Algebra.Com's Answer #697062 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A square sheet of pure bronze pad 100cm by 100cm will be materialized in creation of an open top cargo by cutting off a small square from each corners and bending up the sides. \n" ); document.write( " Determine how large the square should be cut from each corner in order to obtain the largest possible volume. \n" ); document.write( ": \n" ); document.write( "let x = side of the side of the square to be removed, also the height of the container \n" ); document.write( ": \n" ); document.write( "Therefore the container dimensions: \n" ); document.write( "(100-2x) by (100-2x) by x \n" ); document.write( "V = x(10000 - 400x + 4x^2) \n" ); document.write( "V = 4x^3 - 400x^2 + 10000x \n" ); document.write( "Graph this equation, y = volume \n" ); document.write( " \n" ); document.write( "Max volume occurs when x=17 cm is the side of the square to be removed \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |