A furnace technician working in a glass manufacturing plant maintains their core body temperature in the hot environment by sweating. During a single shift, the technician's total metabolic energy expenditure is 16,000 kJ16,000\text{ kJ}16,000 kJ. Evaporating 1 cm31\text{ cm}^31 cm3 of sweat from the skin surface requires 2.4 kJ2.4\text{ kJ}2.4 kJ of thermal energy.
Of the technician's total energy expenditure during the shift, 42%42\%42% is lost as heat via the evaporation of sweat.
Calculate the volume of sweat the technician must evaporate during this shift to maintain a stable body temperature. Give your answer in dm3\text{dm}^3dm3. (Note: 1 dm3=1,000 cm31\text{ dm}^3 = 1,000\text{ cm}^31 dm3=1,000 cm3)