[tex]V = ? \\V = \frac{1}{3} * Pp * H\\H = 8 cm\\a = 4 cm\\Pp = 6 * \frac{a^{2} \sqrt{3}}{4}= 6 * \frac{4^{2} \sqrt{3}}{4} = 6 * \frac{16 \sqrt{3}}{4} = 6 * 4\sqrt{3} = 24\sqrt{3} (cm^{2})\\V = \frac{1}{3} * 24\sqrt{3} cm^{2} * 8 cm = 64\sqrt{3} cm^{3}[/tex]
Odp.: Objętość danego ostrosłupa wynosi 64√3 cm³.
