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Calculus/calculus related rates

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Expert: - 12/31/2008


Question
The surface area of a cube is increasing at a rate of 50 square  centimeters per second.  How fast, in cubic centimeters per second, is the volume of the cube changing at the instant the surface area is 600 square centimeters?

Answer
We need to know the current size of the cube.

It is known that the surface area is A(s) = 6sē, where is is the length of a side.  Using this, s can be found.

We know that the volume of a cube is V(s) = s^3.

Find the derivative dV/ds.  Since s has been found (two paragraphs ago), we can put the into dV/ds and see what the value is at this value of s.

This will how fast the volums is changing.

Calculus

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Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

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