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The side of a cube is increasing at the ...

The side of a cube is increasing at the rate of `0.02 cm//sec`. Find the rate at which its surface area is increasing when its sides are 3 cms each.

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Let x be the length of each side of the cube.
Then, surface area of the cube, `S=6x^2`
`therefore`Rate of change of surface area of the cube, (dS)/dt=12xdx/dt`
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