Identify the formula

The area of a regular hexagon with side length $a$ is derived from 6 equilateral triangles of side $a$, given by the formula $\text{Area} = 6 \times \frac{\sqrt{3}}{4} a^2 = \frac{3\sqrt{3}}{2} a^2$.

$\text{Area} = \frac{3\sqrt{3}}{2} a^2$

Substitute the side length

Substitute $a = 6$ into the formula: $\text{Area} = \frac{3\sqrt{3}}{2} \times (6)^2$.

$\text{Area} = \frac{3\sqrt{3}}{2} \times 36$

Calculate the final area

Simplify the expression: $\text{Area} = 3\sqrt{3} \times \frac{36}{2} = 3\sqrt{3} \times 18 = 54\sqrt{3}$.

$\text{Area} = 54\sqrt{3} \text{ cm}^2$