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OpenStudy (anonymous):
Suppose a (magical?) ice cube melts, and as it melts it remains in the shape of a perfect cube, of side length x, and the rate of change in its volume is proportional to its surface area, meaning dvolumedt=k⋅(surface area). Initially at time t=0, we have that x is 3 centimeters, but when t=25 minutes, so the cube has been melting for 25 minutes, then x is 2 centimeters. At what time t will I find that x is 1 centimeter?
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