The density of copper is `8.83gcm^(-3)`. Express it in `kgm^(-3)`.

Answer

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

### Step 1: Understand the conversion factors
1. **Convert grams to kilograms**:
- 1 gram (g) = 1/1000 kilograms (kg)
2. **Convert cubic centimeters to cubic meters**:
- 1 cubic centimeter (cm³) = (1/100)³ cubic meters (m³) = 1/1,000,000 m³

### Step 2: Write the density in terms of the conversion factors
Given the density of copper:
\[ \rho_{Cu} = 8.83 \, \text{g/cm}^3 \]

We can express this as:
\[ \rho_{Cu} = 8.83 \, \text{g/cm}^3 = 8.83 \, \frac{\text{g}}{\text{cm}^3} = 8.83 \, \frac{\frac{1}{1000} \, \text{kg}}{\frac{1}{1000000} \, \text{m}^3} \]

### Step 3: Simplify the expression
Now, substituting the conversion factors:
\[ \rho_{Cu} = 8.83 \times \frac{1}{1000} \, \text{kg} \div \frac{1}{1000000} \, \text{m}^3 \]

This can be rewritten as:
\[ \rho_{Cu} = 8.83 \times \frac{1}{1000} \times 1000000 \, \frac{\text{kg}}{\text{m}^3} \]

### Step 4: Calculate the density
Now, calculate:
\[ \rho_{Cu} = 8.83 \times 1000 \, \text{kg/m}^3 = 8830 \, \text{kg/m}^3 \]

### Final Answer
Thus, the density of copper in kg/m³ is:
\[ \rho_{Cu} = 8830 \, \text{kg/m}^3 \]

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