What is the mass of one litre of cottonseed oil of density `926kg//m^(3)`

Options

A. 926 kg
B. 92.6 kg
C. 0.926 kg
D. 9260 kg

Explanation

To find the mass of one litre of cottonseed oil with a density of 926 kg/m³, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between mass, volume, and density**:
The formula for density (ρ) is given by:
\[ \text{Density} (\rho) = \frac{\text{Mass} (m)}{\text{Volume} (V)} \]
Rearranging this formula to find mass gives us:
\[ \text{Mass} (m) = \text{Density} (\rho) \times \text{Volume} (V) \]

2. **Convert the volume from litres to cubic meters**:
We know that:
\[ 1 \text{ litre} = 10^{-3} \text{ m}^3 \]
Therefore, the volume of cottonseed oil is:
\[ V = 1 \text{ litre} = 10^{-3} \text{ m}^3 \]

3. **Substitute the values into the mass formula**:
Given that the density of cottonseed oil is 926 kg/m³, we can substitute the values into the mass formula:
\[ m = \rho \times V = 926 \text{ kg/m}^3 \times 10^{-3} \text{ m}^3 \]

4. **Calculate the mass**:
Now, perform the multiplication:
\[ m = 926 \times 10^{-3} = 0.926 \text{ kg} \]

5. **Conclusion**:
The mass of one litre of cottonseed oil is:
\[ \text{Mass} = 0.926 \text{ kg} \]

### Final Answer:
The mass of one litre of cottonseed oil is **0.926 kg**.

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