P = Pp + Pb
V = 2 * Pp * h
A)
Pb = 3 * 4 * 10 = 120 [tex]cm^{2}[/tex]
Pp = [tex]\frac{4^2 * \sqrt{3} }{4}[/tex] = 4 [tex]\sqrt{3}[/tex] [tex]cm^{2}[/tex]
P = 120 + 2 * 4 [tex]\sqrt{3}[/tex] = 120 [tex]cm^{2}[/tex] + 8 [tex]\sqrt{3}[/tex] [tex]cm^{2}[/tex]
V = 4 [tex]\sqrt{3}[/tex] * 10 = 40 [tex]\sqrt{3}[/tex] [tex]cm^{2}[/tex]
B)
Pb = 6 * 6 * 20 = 720 [tex]cm^{2}[/tex]
Pp = [tex]\frac{3 * 6^{2}* \sqrt{3} }{2}[/tex] = [tex]\frac{108\sqrt{3} }{2}[/tex] = 54[tex]\sqrt{3}[/tex] [tex]cm^{2}[/tex]
P = 720 [tex]cm^{2}[/tex] + 54[tex]\sqrt{3}[/tex] * 2 = 720 [tex]cm^{2}[/tex] + 108[tex]\sqrt{3}[/tex] [tex]cm^{2}[/tex]
V = 2 * 54[tex]\sqrt{3}[/tex] * 20 = 2160[tex]\sqrt{3}[/tex] [tex]cm^{2}[/tex]
