The base of an aquarium with given constant volume V is made of slate and the sides are made of glass. If slate costs eight times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of materials. (Use Lagrange Multipliers)

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The base of an aquarium with given constant volume V is made of slate and the sides are made of glass. If slate costs eight times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of materials. (Use Lagrange Multipliers)

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