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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-Minima- Word problemsMedium2 minQB

MathematicsMediumsingle choice

An open-top box has a square base and uses $48 m^{2}$ of material. Find its maximum volume.

Options:

Answer:

Solution:

With base side $x$ and height $y, x^{2} + 4 x y = 48$ , so $V = x^{2} y = (48 x - x^{3}) /4$ . The maximum occurs at $x = 4, y = 2$ , giving $V = 32$ .

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima- Word problems

⏱ 2mℹ️ Source: QB

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