Page 179 - Math Genius C4

E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-09
\\September 30, 2025 9:51 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

Measuring CapaCity (VoluMe)

The base unit of measuring capacity (volume) is litre (L). It is the standard unit for

measuring capacity. There are some other units of capacity as well.

The units bigger than the litre (L) are kilolitre (kL), Smaller units
hectolitre (hL) and decalitre (daL). ×1000 ×10 ×10 ×1000
×100
×100
1 kL = 10 hL = 100 daL = 1000 L kL hL daL L dL cL mL
÷10 ÷10
÷100
1 hL = 10 daL = 100 L ÷1000 ÷100 ÷1000
1 daL = 10 L Bigger units

The units smaller than the litre (L) are decilitre (dL), centilitre (cL) and millilitre (mL).

1 L = 10 dL = 100 cL = 1000 mL

1 dL = 10 cL = 100 mL

1 cL = 10 mL
conversion of Bigger units of capacity into Smaller units

The relation between the units of capacity (volume) will help us convert one unit
into another. To convert a bigger unit into a smaller unit, we multiply.

example 1: Convert the following.

(a) 13 L into mL (b) 25 L 200 mL into mL
(c) 3 kL into daL (d) 6 kL 350 L into L

Solution: (a) We have 1 L = 1000 mL
So, 13 L = (13 × 1000) mL = 13000 mL

(b) We have 1 L = 1000 mL

25 L 200 mL = 25 L + 200 mL
= (25 × 1000) mL + 200 mL
= 25000 mL + 200 mL

= 25200 mL
Critical Thinking
(c) We have 1 kL = 100 daL Fast Check

So, 3 kL = (3 × 100) daL How many 5 l

= 300 daL millilitres of 4 l
liquid are
(d) We have 1 kL = 1000 L there in the 3 l
2 l
So, 6 kL 350 L = 6 kL + 350 L container? 1 l

= (6 × 1000) L + 350 L
= 6000 L + 350 L = 6350 L

Mathematics-4 177