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We want to build a square-based box, enclosed on all sides. The volume of the box must be 400 m. The cost for the

 

We want to build a square-based box, enclosed on all sides. The volume of the box must be 400 m. The cost for the material of the base is $50 per m. The cost for the material of the sides is $64 per m. The cost for the material of the top is $75 per m. What are the dimensions of the least expensive box, and how much does it cost?

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