At a certain point in time, each dimension of a cube of ice is 30 cm and is decreasing at the rate of 2 cm/hr. How fast is the ice melting (losing volume)?

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asked Nov 19, 2018 112k views

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Coert Metz · Answer 1 · 2018-11-24T20:10:29+0000

Let each side of the cube be of length x

x = 30 cm

dx/dt = -2 cm/hr

V = x^3 differentiate with respect to time

dV/dt = 3x^2 dx/dt = 3 * (30)^2 * (-2) = -5400 cm^3/hr

At a certain point in time, each dimension of a cube of ice is 30 cm and is decreasing at the rate of 2 cm/hr. How fast is the ice melting (losing volume)?

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