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An open topped box is to be made by removing equal squares from each corner of a by rectangle sheet…

Mathematics20186 marksLong answer
An open topped box is to be made by removing equal squares from each corner of a $3\text{ m}$ by $8\text{ m}$ rectangle sheet of aluminium and by folding up the sides. Find the volume of the largest such box.

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Applications of Derivatives

From ISC 2018 Specimen Mathematics Paper 1, question 12(b).