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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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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)?

User Maulik Suchak
by
5.7k points

1 Answer

4 votes
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

User Coert Metz
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