[tex]Pp = 6*\frac{a^2\sqrt3}{4} = \frac{3a^3\sqrt3}{2}\\Pb = a*H\\Pc = 2Pp + 6Pb\\V = Pp * H\\a = 7cm\\H = 12cm\\\\Pp= \frac{3*7^2\sqrt3}{2} = \frac{3*49\sqrt3}{2} = \frac{147\sqrt3}{2}cm^2\\Pb = 7*12=84cm^2\\Pc = 2*\frac{147\sqrt3}{2} + 6*84=147\sqrt3 + 504 = 254.31 + 504 = 758.31cm^2\\V = \frac{147\sqrt3}{2} * 12 = 882\sqrt3=1525.86cm^3[/tex]
