Mathematics · 2020
JEE Main · 3 September 2020, Shift 2 · Q59
If the surface area of a cube is increasing at a rate of 3.6 cm^2 / sec, retaining its shape; then the rate of change of its volume (in cm^3 / sec.),…
If the surface area of a cube is increasing at a rate of $\displaystyle 3.6 \mathrm{~cm}^2 / \mathrm{sec}$, retaining its shape; then the rate of change of its volume (in $\displaystyle \mathrm{cm}^3 / \mathrm{sec}$.), when the length of a side of the cube is $\displaystyle 10$ cm, is :
Official answer
(2)
$\displaystyle 9$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.