An open box with a square base is to be made out of a given quantity of card board of area `c^2` square units. Show that the maximum volume of the box is `c^3/(6sqrt(3))` cubic units.

Explanation

To solve the problem of maximizing the volume of an open box with a square base made from a given area of cardboard \( c^2 \) square units, we can follow these steps:

### Step 1: Define the Variables
Let:
- \( x \) = length of one side of the square base
- \( y \) = height of the box

### Step 2: Write the Surface Area Equation
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