Given:
Given that the side length of the cube is 1.8 cm
We need to determine the lateral surface area of the cube.
Lateral surface area of the cube:
The lateral surface area of the cube can be determined using the formula,
![LSA=4a^2](https://img.qammunity.org/2021/formulas/mathematics/college/bdqc8k800dl6e5v63ajpdkuyaluyn0rwb1.png)
where a is the side length.
Substituting a = 1.8 in the above formula, we get;
![LSA=4(1.8)^2](https://img.qammunity.org/2021/formulas/mathematics/college/ra06a76v6qggd0myq8p7fiy1mo855pfr9o.png)
Squaring the term, we get;
![LSA=4(3.24)](https://img.qammunity.org/2021/formulas/mathematics/college/kb8okg7iu0zxmyzvqhrh8klbgutmg6muh0.png)
Multiplying, we get;
![LSA=12.96](https://img.qammunity.org/2021/formulas/mathematics/college/mr95ol26gg1o1iec10qsj75fw13ualyzto.png)
Thus, the lateral surface area of the cube is 12.96 cm²