[tex]a = 2\\H = 9\\P_{c} = ?\\\\P_{c} = 2P_{P} + P_{b}\\\\\\P_{p} = 6\cdot\frac{a^{2}\sqrt{3}}{4} = \frac{3a^{2}\sqrt{3}}{2}\\\\2P_{p} = 2\cdot\frac{3a^{2}\sqrt{3}}{2} = 3a^{2}\sqrt{3}\\\\P_{b} = 6aH\\\\\\P_{c} = 3a^{2}\sqrt{3}+6aH\\\\P_{c} = 3\cdot2^{2}\sqrt{3}+6\cdot2\cdot9 \\\\P_{c} = 12\sqrt{3} + 108\\\\\boxed{P_{c} = 12(\sqrt{3}+9)}[/tex]
