The volume of a cube is increasing at a rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres?

Explanation

To solve the problem step by step, we will follow the given information and apply the necessary formulas.

### Step 1: Understand the problem
We are given that the volume of a cube is increasing at a rate of 9 cubic centimeters per second. We need to find how fast the surface area is increasing when the length of an edge of the cube is 10 centimeters.

### Step 2: Define the variables
Let:
- \( x \) = length of an edge of the cube (in cm)
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