Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q69
A box open from top is made from a rectangular sheet of dimension a × b by cutting squares each of side x from each of the four corners and folding…
A box open from top is made from a rectangular sheet of dimension $\displaystyle \mathrm{a} \times \mathrm{b}$ by cutting squares each of side $\displaystyle x$ from each of the four corners and folding up the flaps. If the volume of the box is maximum, then $\displaystyle x$ is equal to :
Official answer
(1)
$\displaystyle \frac{a+b-\sqrt{a^2+b^2-a b}}{6}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.