A rectangular box having no top and having a prescribed volu

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A rectangular box having no top and having a prescribed volume V m3 is to be constructed using two different materials.

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A rectangular box having no top and having a prescribed volume V m3 is to be constructed using two different materials. The material used for the bottom and front of the box is five times as costly (per square metre) as the material used for the back and the other two sides. What should be the dimensions of the box to minimize the cost of materials?

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