1. The problem is to convert a density value from kilograms per cubic meter (kg/m^3) to grams per cubic centimeter (g/cm^3). 2. The formula to convert units of density is based on the conversion factors between kilograms and grams, and between cubic meters and cubic centimeters. 3. Important conversions: - 1 kilogram (kg) = 1000 grams (g) - 1 meter (m) = 100 centimeters (cm) - Therefore, 1 cubic meter (m^3) = $100^3 = 1,000,000$ cubic centimeters (cm^3) 4. Given density: $1000 \frac{kg}{m^3}$ 5. Convert kilograms to grams: $$1000 \frac{kg}{m^3} = 1000 \times 1000 \frac{g}{m^3} = 1,000,000 \frac{g}{m^3}$$ 6. Convert cubic meters to cubic centimeters: $$1,000,000 \frac{g}{m^3} = \frac{1,000,000 g}{1,000,000 cm^3}$$ 7. Simplify the fraction: $$\frac{1,000,000 g}{1,000,000 cm^3} = 1 \frac{g}{cm^3}$$ 8. Therefore, the density $1000 \frac{kg}{m^3}$ is equal to $1 \frac{g}{cm^3}$. Final answer: $1 \frac{g}{cm^3}$