Answer :
Sure! Let's solve this step-by-step.
### Given:
- Mass of petrol ([tex]\( m \)[/tex]) = 19 kilograms
- Density of petrol ([tex]\( \rho \)[/tex]) = 800 kg/m³
### Formula:
To find the volume, we use the formula:
[tex]\[ V = \frac{m}{\rho} \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( m \)[/tex] is the mass, and [tex]\( \rho \)[/tex] is the density.
### Step-by-Step Solution:
1. Substitute the given values into the formula:
[tex]\[ V = \frac{19 \, \text{kg}}{800 \, \text{kg/m}^3} \][/tex]
2. Perform the division:
[tex]\[ V = \frac{19}{800} \][/tex]
Divide 19 by 800:
[tex]\[ V = 0.02375 \, \text{m}^3 \][/tex]
3. Round the volume to 2 decimal places:
[tex]\[ V \approx 0.02 \, \text{m}^3 \][/tex]
### Final Answer:
The volume of 19 kilograms of petrol, given the density is 800 kg/m³, is approximately 0.02 m³ when rounded to 2 decimal places.
### Given:
- Mass of petrol ([tex]\( m \)[/tex]) = 19 kilograms
- Density of petrol ([tex]\( \rho \)[/tex]) = 800 kg/m³
### Formula:
To find the volume, we use the formula:
[tex]\[ V = \frac{m}{\rho} \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( m \)[/tex] is the mass, and [tex]\( \rho \)[/tex] is the density.
### Step-by-Step Solution:
1. Substitute the given values into the formula:
[tex]\[ V = \frac{19 \, \text{kg}}{800 \, \text{kg/m}^3} \][/tex]
2. Perform the division:
[tex]\[ V = \frac{19}{800} \][/tex]
Divide 19 by 800:
[tex]\[ V = 0.02375 \, \text{m}^3 \][/tex]
3. Round the volume to 2 decimal places:
[tex]\[ V \approx 0.02 \, \text{m}^3 \][/tex]
### Final Answer:
The volume of 19 kilograms of petrol, given the density is 800 kg/m³, is approximately 0.02 m³ when rounded to 2 decimal places.
