SOLUTION: A rectangular sheet of metal has dimensions of 60cm by 24cm. It is to be made into an open topped box by removing square segments from each corner and folding the sides upwards.

Question 877096: A rectangular sheet of metal has dimensions of 60cm by 24cm.
It is to be made into an open topped box by removing square segments from each corner and folding the sides upwards.
Using differential calculus determine the dimensions of the box that will give the maximum possible volume and determine the volume of the box and its dimensions
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Base becomes (60-2x)(24-2x)
and since height will be x when the tabs are folded to meet forming the open rectangular form, the volume is x(60-2x)(24-2x).

Derivative is

Max or extreme volume will be where that derivative is 0.
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