[tex]\text {Volume of a hexagon = } \dfrac{ \sqrt{3} }{2} a^2h[/tex]
[tex]\text {Volume of a hexagon = } \dfrac{ \sqrt{3} }{2} (6 \sqrt{3}) ^2(4)[/tex]
[tex]\text {Volume of a hexagon = } \dfrac{ 432\sqrt{3} }{2} [/tex]
[tex]\text {Volume of a hexagon = } 216 \sqrt{3} \ cm^3[/tex]