Decalitre to Litre Conversion Explained
Understanding metric prefixes is key to solving this question.
- The prefix 'deca-' (symbol: da) means 10 times the base unit.
Therefore, one decalitre (daL) is equal to 10 times the base unit, which is the litre (L).
The conversion is expressed using LaTeX as:
$1 \text{ decalitre} = 1 \times 10 \text{ litres}$
$1 \text{ daL} = 10 \text{ L}$
Evaluating the Options
Based on the conversion:
- Option 1 (10 kilolitre): Incorrect. 1 kilolitre (kL) = 1000 L. 1 daL is much smaller.
- Option 2 (10 litre): Correct. Matches the conversion derived from the 'deca-' prefix.
- Option 3 (100 litre): Incorrect. 100 L is equal to 1 hectolitre (hL), not 1 decalitre.
- Option 4 (10 centilitre): Incorrect. 1 centilitre (cL) = 0.01 L. 1 daL = 1000 cL.
Thus, one decalitre is equivalent to 10 litres.
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