The image shows a question asking to find the surface area of a cube with a given side length of 6 cm.

Explanation:

For a cube, the surface area $A$ is calculated using the formula:

$A = 6 \times s^2$

where $s$ is the length of a side of the cube.

Given:

• Side length $s = 6 \, \text{cm}$

Substitute the value into the formula:

$A = 6 \times (6 \, \text{cm})^2 = 6 \times 36 \, \text{cm}^2 = 216 \, \text{cm}^2$

So, the surface area of the cube is $216 \, \text{cm}^2$.

Would you like more details on this problem or have any questions?

Here are five related questions:

1. How would the surface area change if the side length was doubled?
2. What is the volume of the cube with a side length of 6 cm?
3. How is the surface area formula for a cube derived?
4. How does the surface area of a cube compare to that of a sphere with the same volume?
5. What are some real-world applications where surface area calculations are crucial?

Tip: Remember that understanding the formula for surface area and how to apply it to different shapes can greatly enhance your ability to solve geometry problems quickly and accurately.