JEE MATHEMATICS MCQ: RATE MEASURE

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If the surface area of a cube is increasing at a rate of

4.8 \mathrm{~cm}^2 / \mathrm{sec}

. retaining its shape, then the rate of change of its volume (in

\mathrm{cm}^3 / \mathrm{sec}

.) when the length of a side of the cube is

15 \mathrm{~cm}

is:

View answer and explanation

Correct option: A

Option A (18) is correct because differentiating the surface area and volume of the cube with respect to time and using the given rate of change of surface area allows us to find the rate of change of volume.

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