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The volume of a closed rectangular metal box with a square base is . The cost of polishing the…

Mathematics20196 marksNumerical
The volume of a closed rectangular metal box with a square base is $4096\text{ cm}^3$. The cost of polishing the outer surface of the box is ₹ 4 per $\text{cm}^2$. Find the dimensions of the box for the minimum cost of polishing it.

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Applications of Derivatives

From ISC 2019 Mathematics Paper 1, question 12(a).