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Conversion of Capacity

example 5: Convert the following.
(a) 7 kL into daL (b) 93 hL into cL (c) 214 L into dL (d) 15 daL into mL
Solution: (a) 7 kL into daL × 10 × 10

7 kL = 7 × 100 daL
= 700 daL kL hL daL

(b) 93 hL into cL × 10 × 10 × 10 × 10
93 hL = 93 × 10000 cL
= 930000 cL hL daL L dL cL

(c) 214 L into dL × 10
214 L = 214 × 10 dL
= 2140 dL L dL

(d) 15 daL into mL
15 daL = 15 × 10000 mL × 10 × 10 × 10 × 10
= 150000 mL daL L dL cL mL

example 6: Convert the following.
(a) 32.18 hL into L (b) 7.755 daL into cL

Solution: (a) 32.18 hL into L × 10 × 10
32.18 hL = 32.18 × 100 L
= 3218 L hL daL L

(b) 7.755 daL into cL × 10 × 10 × 10
7.755 daL = 7.755 × 1000 cL
= 7755 cL daL L dL cL

FACTS
Here are some conversions, which are used in our daily life, depending on which part of the
world you live.
2.5 cm (approx.) = 1 inch
12 inches = 1 foot 1 pound = 453.59 g 60 g = 1 cup
3 feet = 1 yard 1000 g = 1 kg 16 cups = 1 gallon
1760 yards = 1 mile 100 kg = 1 quintal 1 gallon = 3.8 litre

1 mile = 5280 feet 10 quintal = 1 ton 1 barrel = 119.24 litre

Conversion of Smaller Units to Bigger Units

For converting smaller units into bigger units, divide by 10 for every step as we move

backwards to the left. m/g/L
Kilo Hecto Deca Standard unit Deci Centi Milli

÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10

170 Mathematics-5