Пирамиды

$$S_{\text{осн}} = \frac{\sqrt{3}}{4}a^2 = \frac{\sqrt{3}}{4} \cdot 1^2 = \frac{\sqrt{3}}{4}$$ $$V = \frac{1}{3}S_{\text{осн}}h = \frac{1}{3} \cdot \frac{\sqrt{3}}{4} \cdot \sqrt{3} = \frac{3}{12} = 0.25$$

$$S_{\text{осн}} = \frac{\sqrt{3}}{4}a^2 = \frac{\sqrt{3}}{4} \cdot 4 = \sqrt{3}$$ $$h = \frac{3V}{S} = \frac{3\sqrt{3}}{\sqrt{3}} = 3$$

$$OC = \sqrt{SC^2 - SO^2} = \sqrt{100 - 36} = 8$$ $$AC = 2OC = 16$$ $$S_{\text{осн}} = \frac{AC^2}{2} = \frac{256}{2} = 128$$ $$V = \frac{1}{3}Sh = \frac{1}{3} \cdot 128 \cdot 6 = 256$$

$$S_{\text{осн}} = \frac{1}{2} \cdot 3 \cdot 3 = \frac{9}{2}$$ $$V = \frac{1}{3}Sh = \frac{1}{3} \cdot \frac{9}{2} \cdot 3 = 4.5$$

$$V_{\text{отс}} = \frac{1}{4}V = \frac{12}{4} = 3$$