Asked by Princeton

The volume of a cube is increasing at a rate of 2 1/2cm cube/sec. Find the rate of change of sides .

Answers

Answered by Steve
v = s^3
dv/dt = 3s^2 ds/dt
so,

3s^2 ds/dt = 5/2

as you can see, the rate of change of the sides depends on the size of the cube.
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