Calculate Cube Side Length from 24 cm² Surface Area: Geometry Problem

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Apply the appropriate formula for the surface area of a cube.
• Step 3: Solve the equation to find the side length.

Now, let's work through each step:

Step 1: The problem gives us that the surface area of the cube is 24 cm².

Step 2: We'll use the formula for the surface area of a cube: $A = 6s^2$, where $A$ is the surface area and $s$ is the side length.

Step 3: Substitute the given surface area into the formula and solve for $s$:

$6s^2 = 24$

Divide both sides by 6 to isolate $s^2$:

$s^2 = \frac{24}{6} = 4$

Take the square root of both sides to solve for $s$:

$s = \sqrt{4} = 2$

Therefore, the solution to the problem is $s = 2$ cm.