[tex]H = 12 \ cm\\a = 0,5H = 0,5\cdot12 \ cm = 6 \ cm\\\alpha = 30^{o}\\sin\alpha = sin30^{o} = 0,5\\V = ?\\P_{c} = ?\\\\\\V = P_{p}\cdot H\\\\P_{p} = a^{2}\cdot sin\alpha = 6^{2}\cdot 0,5 = 36\cdot0,5 = 18 \ cm^{2}\\\\V = 18 \ cm^{2}\cdot12 \ cm\\\\\boxed{V = 216 \ cm^{3}}[/tex]
[tex]P_{c} = 2P_{p} + P_{b}\\\\P_{b} = 4aH = 4\cdot6\cdot12 =288 \ cm^{2}\\\\P_{c} = 2\cdot18 \ cm^{2}+288 \ cm^{2}\\\\P_{c} = 36 \ cm^{2}+288 \ cm^{2}\\\\\boxed{P_{c} = 324 \ cm^{2}}[/tex]
