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Show that the surface area of a closed cuboid with square base and given volume is minimum when it…

Mathematics20175 marksDerivation
Show that the surface area of a closed cuboid with square base and given volume is minimum when it is a cube.

Given: A closed cuboid with square base and given volume $V$.

To show: Surface area is minimum when it is a cube.

Answer

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Applications of Derivatives

From ISC 2017 Mathematics Paper 1, question 5(b).