This question is a slight variation on the previous one. You are given the problem of producing a box/tank with the largest volume possible from a given amount of material.


Q. You are given 1200 cm² of sheet steel, you are to construct a tank with side length "x" and the depth "y" 


(a) Calculate the optimum values of "x" and "y" so that the tank can hold the maximum possible volume of liquid. 


(b) Calculate the maximum volume.


To start off with, it is always helpful to draw out a visual representation of what you're trying to achieve. Not unlike the box in the previous question we have here at least a basic visual idea of what the question is asking us for.




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