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The volume of a cube is increasing at a ...

The volume of a cube is increasing at a constant rate. Prove that the increase in surface area varies inversely as the length of the edge of the cube.

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To prove that the increase in surface area of a cube varies inversely as the length of the edge of the cube when the volume is increasing at a constant rate, we can follow these steps: ### Step 1: Define the variables Let the length of one side of the cube be \( x \). The volume \( V \) of the cube is given by the formula: \[ V = x^3 \] ...
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