How many kiloliters are in 32,500 centiliters
The correct answer and explanation is:
To convert 32,500 centiliters (cL) to kiloliters (kL), we need to understand the relationship between the two units:
- 1 centiliter (cL) is equal to 0.00001 kiloliters (kL).
- This is because:
- 1 liter (L) = 100 centiliters (cL)
- 1 kiloliter (kL) = 1,000 liters (L)
Now, to convert from centiliters to kiloliters:
- First, convert centiliters to liters: 32,500 cL×1 L100 cL=325 L32,500 \, \text{cL} \times \frac{1 \, \text{L}}{100 \, \text{cL}} = 325 \, \text{L}
- Then, convert liters to kiloliters: 325 L×1 kL1,000 L=0.325 kL325 \, \text{L} \times \frac{1 \, \text{kL}}{1,000 \, \text{L}} = 0.325 \, \text{kL}
Thus, 32,500 centiliters is equal to 0.325 kiloliters.
Explanation:
When performing unit conversions, it’s essential to use conversion factors that express the relationship between the two units. Here, centiliters and kiloliters are both derived from liters, so we can break down the conversion step by step.
- Centiliters to Liters: Since 100 centiliters equal 1 liter, dividing the number of centiliters by 100 converts the quantity to liters.
- Liters to Kiloliters: Similarly, since 1,000 liters equal 1 kiloliter, dividing the number of liters by 1,000 converts it to kiloliters.
Understanding the relationships between units of volume is crucial for correctly scaling measurements, especially in scientific, industrial, or everyday contexts. The unit conversions are straightforward once the correct conversion factors are applied, ensuring that measurements are consistent and accurate across different units.