The volume of a cube is increasing at the rate of `8 c m^3//s`. How fast is the surface area increasing when the length of an edge is 12 cm?

Explanation

To solve the problem step by step, we will use the information given about the volume and surface area of a cube.

### Step 1: Understand the relationship between volume and edge length
The volume \( V \) of a cube with edge length \( a \) is given by the formula:
\[ V = a^3 \]

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