SOLUTION: 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. Det

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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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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.
:
let x = side of the side of the square to be removed, also the height of the container
:
Therefore the container dimensions:
(100-2x) by (100-2x) by x
V = x(10000 - 400x + 4x^2)
V = 4x^3 - 400x^2 + 10000x
Graph this equation, y = volume
+graph%28+300%2C+200%2C+-10%2C+50%2C+-50000%2C+100000%2C+4x%5E3+-+400x%5E2+%2B+10000x+%29+
Max volume occurs when x=17 cm is the side of the square to be removed