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An edge of a variable cube is increasing at the rate of 5 cm per second. How fast is the volume increasing when the side is 15 cm?

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Let x be the edge of the cube and V be the volume of the cube at any time t.


\(\frac{dt}{dt}=\) 5 cm/s, 

x = 15cm

Since we know the volume of cube = (side)3 

i.e, V = x3.

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