An open box is to be made out of a piece of cardboard measuring `(24 cm xx 24 cm)` by cutting off equal square from the corners and turning up the sides. Find the height of the box when it has maximum volume.

Explanation

To find the height of the box when it has maximum volume, we will follow these steps:

### Step 1: Define the variables
Let \( x \) be the side length of the square cut from each corner of the cardboard. The original dimensions of the cardboard are \( 24 \, \text{cm} \times 24 \, \text{cm} \).

### Step 2: Determine the dimensions of the box
After cutting out squares of side \( x \) from each corner and folding up the sides, the dimensions of the box will be:
- Length = \( 24 - 2x \)
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