Calculate the Surface Area of a Cube with 9 cm Edges: Geometric Problem

To solve this problem, we will calculate the surface area of a cube with each edge measuring 9 cm using the formula for the surface area of a cube.

Step 1: Identify the given information
The edge length $s$ of the cube is 9 cm.

Step 2: Apply the formula for the surface area
The formula for the surface area $A$ of a cube is $A = 6s^2$.

Step 3: Perform the calculation
Plug the given value into the formula:

$A = 6 \times (9 \, \text{cm})^2$

Calculate the square of the side length:
$9^2 = 81 \, \text{cm}^2$

Now multiply by 6 to find the total surface area:
$A = 6 \times 81 \, \text{cm}^2 = 486 \, \text{cm}^2$

Therefore, the surface area of the cube is $486 \, \text{cm}^2$.