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im only having one problem with this question..and that is finding my second formula.

I have an aquarium with givin volume, where the base is made of slate and the sides are made of glass..and the cost of slate is 5 times the cost of glass (per unit area) find the dimension of the aquarium to minimize cost.

ok so equation one is

V = lwh l - lenght w - width h - height

and my second is somthing like.....

5(2lh + 2wh) = lw

the first part is the sides of the aquarium and the second part is the base.. now this is comparing the costs of the areas of the sides and the area of the base.. but i dont think it is right because how can i say that the cost of the base is the same of the cost of all 4 sides. seaing how there is more area around the sides then the base....

thanks

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# Calculus question - minimize cost from volume

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