1. **Stating the problem:** We are given a density of 1.1 grams per cubic centimeter and two masses: 6 kilograms and 1400 kilograms. We want to find the volume corresponding to each mass. 2. **Formula used:** Density $\rho$ is defined as mass $m$ divided by volume $V$: $$\rho = \frac{m}{V}$$ Rearranged to find volume: $$V = \frac{m}{\rho}$$ 3. **Important unit conversions:** - Density is in grams per cubic centimeter (g/cm$^3$). - Mass is given in kilograms (kg). - Convert mass from kilograms to grams since 1 kg = 1000 g. 4. **Calculate volume for 6 kilograms:** Convert mass: $$6\ \text{kg} = 6 \times 1000 = 6000\ \text{g}$$ Calculate volume: $$V = \frac{6000}{1.1}$$ Simplify: $$V = \frac{6000}{1.1} = 5454.5454...\ \text{cm}^3$$ 5. **Calculate volume for 1400 kilograms:** Convert mass: $$1400\ \text{kg} = 1400 \times 1000 = 1,400,000\ \text{g}$$ Calculate volume: $$V = \frac{1,400,000}{1.1}$$ Simplify: $$V = 1,272,727.2727...\ \text{cm}^3$$ **Final answers:** - Volume for 6 kg mass: approximately $5454.55$ cm$^3$ - Volume for 1400 kg mass: approximately $1,272,727.27$ cm$^3$