Find answers to your questions and expand your knowledge with IDNLearn.com. Our platform is designed to provide quick and accurate answers to any questions you may have.
Sagot :
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.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.