Surface Area of a Cube:
The surface area of a cube is the total area of all its faces. Since a cube has six equal square faces, we can find the surface area by multiplying the length of one side by itself and then multiplying the result by 6.

Given:
Surface Area = 1200 cm²

Finding the Side Length:
To find the side length of the cube, we can rearrange the formula for surface area and solve for the side length.

Surface Area = 6 * (Side Length)²

1200 = 6 * (Side Length)²

Now, let's solve for the side length step by step.

Step 1: Divide both sides of the equation by 6 to isolate (Side Length)².
1200 / 6 = (Side Length)²
200 = (Side Length)²

Step 2: Take the square root of both sides to find the side length.
√200 = Side Length
Side Length ≈ 14.14 cm

Hence, the side length of the cube is approximately 14.14 cm.