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6. The volume of a cube is increasing at a rate of 10 cubic cm/min. How...

6. The volume of a cube is increasing at a rate of 10 cubic cm/min. How fast is the surface area of the cube increasing when the length of the edge is 30 cm?

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Answer #1

Volume of a cube having side length 'a' is given by

The volume of a cube is increasing at a rate of 10 cubic cm/min.

That is

Surface area of the cube is given by

When length of the edge is 30 cm.

That is

Surface area is increasing at a rate of 1.33 square cm/min.

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