Express each of the following in litres: (i) 42.3 dal (ii) 235.2 ml (iii) 0.123 kl (iv) 34.25 hl (v) 2.312 kl (vi) 68.6 cl
The Correct Answer and Explanation is:
Let’s go through the conversions step by step.
(i) 42.3 dal (decalitres) to litres:
1 decalitre (dal) = 10 litres
So, to convert 42.3 dal to litres, multiply by 10:42.3 dal×10=423 litres42.3 \, \text{dal} \times 10 = 423 \, \text{litres}42.3dal×10=423litres
(ii) 235.2 ml (millilitres) to litres:
1 millilitre (ml) = 0.001 litres
To convert 235.2 ml to litres, multiply by 0.001:235.2 ml×0.001=0.2352 litres235.2 \, \text{ml} \times 0.001 = 0.2352 \, \text{litres}235.2ml×0.001=0.2352litres
(iii) 0.123 kl (kilolitres) to litres:
1 kilolitre (kl) = 1000 litres
To convert 0.123 kl to litres, multiply by 1000:0.123 kl×1000=123 litres0.123 \, \text{kl} \times 1000 = 123 \, \text{litres}0.123kl×1000=123litres
(iv) 34.25 hl (hectolitres) to litres:
1 hectolitre (hl) = 100 litres
To convert 34.25 hl to litres, multiply by 100:34.25 hl×100=3425 litres34.25 \, \text{hl} \times 100 = 3425 \, \text{litres}34.25hl×100=3425litres
(v) 2.312 kl (kilolitres) to litres:
1 kilolitre (kl) = 1000 litres
To convert 2.312 kl to litres, multiply by 1000:2.312 kl×1000=2312 litres2.312 \, \text{kl} \times 1000 = 2312 \, \text{litres}2.312kl×1000=2312litres
(vi) 68.6 cl (centilitres) to litres:
1 centilitre (cl) = 0.01 litres
To convert 68.6 cl to litres, multiply by 0.01:68.6 cl×0.01=0.686 litres68.6 \, \text{cl} \times 0.01 = 0.686 \, \text{litres}68.6cl×0.01=0.686litres
Final Answers:
- (i) 42.3 dal = 423 litres
- (ii) 235.2 ml = 0.2352 litres
- (iii) 0.123 kl = 123 litres
- (iv) 34.25 hl = 3425 litres
- (v) 2.312 kl = 2312 litres
- (vi) 68.6 cl = 0.686 litres
These conversions follow the basic principle of multiplying by the conversion factor for each unit.
