Density of an object is `g//cm^(3)`. Express it in `kg//m^(3)`.

Answer

To convert the density of an object from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), follow these steps:

### Step 1: Understand the conversion factors
1. **Convert grams to kilograms**:
- 1 kg = 1000 g
- Therefore, 1 g = \( \frac{1}{1000} \) kg = \( 10^{-3} \) kg.

2. **Convert cubic centimeters to cubic meters**:
- 1 m = 100 cm
- Therefore, \( 1 \, \text{cm} = 10^{-2} \, \text{m} \)
- Thus, \( 1 \, \text{cm}^3 = (10^{-2} \, \text{m})^3 = 10^{-6} \, \text{m}^3 \).

### Step 2: Set up the conversion
Using the conversion factors:
- Density in g/cm³ can be expressed as:
\[ \text{Density} = \frac{1 \, \text{g}}{1 \, \text{cm}^3} = \frac{10^{-3} \, \text{kg}}{10^{-6} \, \text{m}^3} \]

### Step 3: Simplify the expression
Now simplify the expression:
\[ \text{Density} = \frac{10^{-3} \, \text{kg}}{10^{-6} \, \text{m}^3} = 10^{-3 + 6} \, \text{kg/m}^3 = 10^{3} \, \text{kg/m}^3 \]

### Conclusion
Thus, the density in kg/m³ is:
\[ \text{Density} = 10^{3} \, \text{kg/m}^3 \]