1. **Problem (a):** Find the height of a cuboid suitcase with length 40 cm, width 24 cm, and maximum volume 52800 cm³. 2. **Formula:** Volume of a cuboid is given by $$V = \text{length} \times \text{width} \times \text{height}$$ 3. **Step:** Substitute known values: $$52800 = 40 \times 24 \times h$$ 4. **Simplify:** $$52800 = 960 \times h$$ 5. **Solve for height:** $$h = \frac{52800}{960}$$ 6. **Cancel common factors:** $$h = \frac{\cancel{52800}}{\cancel{960}} = 55$$ 7. **Answer (a):** The height of the suitcase is **55 cm**. 8. **Problem (b):** Calculate the flight time for 5112 km at 818 km/h. 9. **Formula:** Time = Distance / Speed 10. **Calculate time:** $$t = \frac{5112}{818} \approx 6.2475 \text{ hours}$$ 11. **Convert decimal hours to minutes:** $$0.2475 \times 60 \approx 14.85 \text{ minutes}$$ 12. **Round to nearest minute:** 15 minutes 13. **Answer (b):** Flight time is **6 hours 15 minutes**. 14. **Problem (c):** Convert 750 US dollars to euros with exchange rate €1 = $1.06. 15. **Formula:** Euros = Dollars / Exchange rate 16. **Calculate euros:** $$\text{Euros} = \frac{750}{1.06} \approx 707.5472$$ 17. **Round to nearest cent:** 707.55 18. **Answer (c):** The passenger receives **707.55 euros**.