The relative density of lead is 11.3. its density `= ….. g cm^(-3) = …….kg m^(-3)`. Fill in the blanks.

Options

A. `1.13xx10^(3)`
B. `1.13xx10^(2)`
C. `1.13xx10^(4)`
D. `11.3`

Explanation

To find the density of lead in both grams per cubic centimeter (g/cm³) and kilograms per cubic meter (kg/m³), we can follow these steps:

### Step 1: Understand the concept of relative density
Relative density (also known as specific gravity) is defined as the ratio of the density of a substance to the density of water. The density of water is approximately 1 g/cm³ or 1000 kg/m³.

### Step 2: Calculate the density of lead in kg/m³
Given that the relative density of lead is 11.3, we can calculate the density of lead using the formula:

\[ \text{Density of lead} = \text{Relative density} \times \text{Density of water} \]

Substituting the values:

\[ \text{Density of lead} = 11.3 \times 1000 \, \text{kg/m}^3 \]

Calculating this gives:

\[ \text{Density of lead} = 11300 \, \text{kg/m}^3 \]

### Step 3: Convert density from kg/m³ to g/cm³
To convert kg/m³ to g/cm³, we use the conversion factor:

\[ 1 \, \text{kg/m}^3 = 0.001 \, \text{g/cm}^3 \]

Thus, we can convert the density we found:

\[ \text{Density of lead} = 11300 \, \text{kg/m}^3 \times 0.001 \, \text{g/cm}^3/\text{kg/m}^3 \]

Calculating this gives:

\[ \text{Density of lead} = 11.3 \, \text{g/cm}^3 \]

### Final Answers
- The density of lead is **11.3 g/cm³**.
- The density of lead is **11300 kg/m³**.