Density of an object is `3g//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 given density
The density of the object is given as:
\[ \text{Density} = 3 \, \text{g/cm}^3 \]

### Step 2: Convert grams to kilograms
We know that:
\[ 1 \, \text{g} = 10^{-3} \, \text{kg} \]
Thus, to convert 3 grams to kilograms:
\[ 3 \, \text{g} = 3 \times 10^{-3} \, \text{kg} \]

### Step 3: Convert cubic centimeters to cubic meters
We also know that:
\[ 1 \, \text{cm} = 10^{-2} \, \text{m} \]
Therefore, for volume:
\[ 1 \, \text{cm}^3 = (10^{-2} \, \text{m})^3 = 10^{-6} \, \text{m}^3 \]

### Step 4: Convert the density to kg/m³
Now we can convert the density from g/cm³ to kg/m³. Since 1 g/cm³ is equivalent to:
\[ 1 \, \text{g/cm}^3 = \frac{10^{-3} \, \text{kg}}{10^{-6} \, \text{m}^3} = 10^{3} \, \text{kg/m}^3 \]
Thus:
\[ 3 \, \text{g/cm}^3 = 3 \times 10^{3} \, \text{kg/m}^3 \]

### Final Answer:
The density of the object expressed in kg/m³ is:
\[ 3000 \, \text{kg/m}^3 \]

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