1. **Problem statement:** (a)(i) The ratio of orange juice to apple juice to mango juice is 15:9:4. Given apple juice volume is 1.8 litres, find the volume of orange juice. (a)(ii) The container is a rectangular box with dimensions 35 cm (height), 18 cm (depth), and 20 cm (width). Find its capacity in litres. 2. **Formula and rules:** - For ratios, the total parts = sum of ratio numbers. - Volume of orange juice = (orange juice parts / apple juice parts) × apple juice volume. - Volume of rectangular box = length × width × height. - Convert cm³ to litres by dividing by 1000. 3. **Step-by-step solution:** (a)(i) - Ratio parts: Orange = 15, Apple = 9, Mango = 4. - Total parts = 15 + 9 + 4 = 28. - Given apple juice volume = 1.8 litres = 1800 ml. - Find volume of one part: $$\frac{1800}{9} = 200\text{ ml}$$. - Orange juice volume = 15 parts × 200 ml = $$15 \times 200 = 3000\text{ ml} = 3\text{ litres}$$. (a)(ii) - Volume of container = 35 cm × 18 cm × 20 cm = $$35 \times 18 \times 20 = 12600\text{ cm}^3$$. - Convert to litres: $$\frac{12600}{1000} = 12.6\text{ litres}$$. 4. **Final answers:** - Orange juice volume = 3 litres. - Container capacity = 12.6 litres.