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Answer :
To find the density of the object, we use the formula for density:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
Here are the steps to solve the problem:
1. Identify the Mass and Volume:
- The mass of the object is given as 68.1 kg.
- The volume of the object is given as 1.6505 L.
2. Plug the values into the density formula:
[tex]\[ \text{Density} = \frac{68.1 \, \text{kg}}{1.6505 \, \text{L}} \][/tex]
3. Perform the division:
[tex]\[ \text{Density} = \frac{68.1}{1.6505} \approx 41.26022417449257 \, \text{kg/L} \][/tex]
4. Compare the result to the given multiple-choice options:
- [tex]$66.4 \, \text{kg/L}$[/tex]
- [tex]$112 \, \text{kg/L}$[/tex]
- [tex]$0.0242 \, \text{kg/L}$[/tex]
- [tex]$41.3 \, \text{kg/L}$[/tex]
The closest value to our calculated result, 41.26022417449257 kg/L, is [tex]$41.3 \, \text{kg/L}$[/tex].
Therefore, the correct answer is:
[tex]\[ 41.3 \, \text{kg/L} \][/tex]
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
Here are the steps to solve the problem:
1. Identify the Mass and Volume:
- The mass of the object is given as 68.1 kg.
- The volume of the object is given as 1.6505 L.
2. Plug the values into the density formula:
[tex]\[ \text{Density} = \frac{68.1 \, \text{kg}}{1.6505 \, \text{L}} \][/tex]
3. Perform the division:
[tex]\[ \text{Density} = \frac{68.1}{1.6505} \approx 41.26022417449257 \, \text{kg/L} \][/tex]
4. Compare the result to the given multiple-choice options:
- [tex]$66.4 \, \text{kg/L}$[/tex]
- [tex]$112 \, \text{kg/L}$[/tex]
- [tex]$0.0242 \, \text{kg/L}$[/tex]
- [tex]$41.3 \, \text{kg/L}$[/tex]
The closest value to our calculated result, 41.26022417449257 kg/L, is [tex]$41.3 \, \text{kg/L}$[/tex].
Therefore, the correct answer is:
[tex]\[ 41.3 \, \text{kg/L} \][/tex]
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