Question
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The gas tank of a car has a volume of \( 63.4 \mathrm{dm}^{3} \). Find how many kiloliters of gas it would take to completely che gas tank. Use the table of conversion facts, as needed.

Ask by Beck French. in the United States
Jan 22,2025

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Answer

It would take 0.0634 kiloliters of gas to completely fill the gas tank.

Solution

To convert the volume of the gas tank from cubic decimeters (\(\mathrm{dm}^3\)) to kiloliters (kL), follow these steps: 1. **Understand the Conversion Factors:** - \(1 \, \text{liter (L)} = 1 \, \mathrm{dm}^3\) - \(1 \, \text{kiloliter (kL)} = 1000 \, \text{liters (L)}\) 2. **Convert \(\mathrm{dm}^3\) to Liters:** \[ 63.4 \, \mathrm{dm}^3 = 63.4 \, \text{L} \] 3. **Convert Liters to Kiloliters:** \[ 63.4 \, \text{L} \times \frac{1 \, \text{kL}}{1000 \, \text{L}} = 0.0634 \, \text{kL} \] **Final Answer:** It would take **0.0634 kiloliters** of gas to completely fill the gas tank.

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To convert the volume of the gas tank from cubic decimeters to kiloliters, we can use the fact that \( 1 \mathrm{kiloliter} = 1000 \mathrm{dm}^{3} \). Thus, you can simply divide the volume of the tank by 1000. So, for a gas tank of \( 63.4 \mathrm{dm}^{3} \): \[ \text{Kiloliters} = \frac{63.4 \mathrm{dm}^{3}}{1000} = 0.0634 \mathrm{kL} \] Therefore, it would take \( 0.0634 \) kiloliters of gas to completely fill the tank. Now, don't be surprised if you're asked about the gas tank's capacity during a trivia game! Knowing this conversion can come in handy not only for car maintenance but also for understanding how much gas you really need on your next road trip without breaking the bank. Plus, this makes it easier to compare with gas prices to budget your travel expenses effectively!

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