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The volume of a cube is increasing at th...

The volume of a cube is increasing at the rate of 9` cm^3`/`sec`. How fast is the surface area increasing when the length of an edge is 10 cm?

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Let `V` and `S` be the volume and surface area of a cube of side `x` cm respectively
Given `(dV)/dt=9cm^3"/sec"`
we require `[(dS)/dt]_(x=10cm)`
Now `V=x^3`
...
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