Wzór na objętość ostrosłupa
[tex]V = \frac{Pp \times H}{3}[/tex]
a)
[tex]Pp = \frac{ {a}^{2} \sqrt{3} }{4} = \frac{ {16}^{2} \sqrt{3} }{4} = \frac{256 \sqrt{3} }{4} = 64 \sqrt{3} {cm}^{2} [/tex]
[tex]V = \frac{64 \sqrt{3} \times 12 }{3} = 64 \sqrt{3} \times 4 = \boxed{ 256 \sqrt{3} {cm}^{3} }[/tex]
b)
[tex]Pp = {a}^{2} = {16}^{2} = 256 {cm}^{2} [/tex]
[tex]V = \frac{256 \times 12}{3} = 256 \times 4 = \boxed{1024 {cm}^{3} }[/tex]
