To solve for the surface area of a cube, we use the following formula:

$\text{Surface Area} = 6 \times (\text{side length})^2$

In this case, the side length of the cube is 8 cm. Plugging that into the formula:

$\text{Surface Area} = 6 \times (8)^2 = 6 \times 64 = 384 \, \text{square cm}$

Thus, the surface area of the cube is 384 square cm.

Would you like further details on this, or do you have any other questions?

Here are 5 questions to further explore this topic:

1. What is the surface area of a cube with a side length of 5 cm?
2. If the side length of the cube is doubled, how does the surface area change?
3. How do you calculate the volume of a cube given its side length?
4. What is the relationship between the surface area and volume of a cube?
5. If one face of the cube is painted, how much area is covered?

Tip: In problems involving cubes, the surface area formula always multiplies the area of one face by 6, since a cube has 6 identical square faces.