Conversion of Standard Unit of Capacity

For the conversion of standard unit of capacity it’s very important to know the relationship between the different units of capacity.

We know, one liter = 1000 milliliter

1000 milliliter = 1 liter


Relationship between different capacities:

1000 milliliter = 1 liter

Two 500 milliliter = 1 liter

Five 200 milliliter = 1 liter

Ten 100 milliliter = 1 liter

Twenty 50 milliliter = 1 liter

Thus, 1 liter = Two 500 milliliter = Five 200 milliliter = Ten 100 milliliter = Twenty 50 milliliter

Conversion of liter into milliliter and milliliter into liter:

(i) To convert liter into milliliter, we write three zeroes (000) to the right of the number of liters.

As, 1 liter = 1000 milliliter, 5 liter = 5000 milliliter

(ii) To convert milliliters into liters, we take the first 3 digits of the number from the extreme right as milliliters and the rest are written as liters.

 

Worked-out problems conversion of standard unit of capacity:

I. Convert liters into milliliters. 

1. Convert 7 liters (ℓ) into milliliters (mℓ).

Solution:

7 liters

We know, 1 liter = 1000 milliliter

= 7 × 1000 milliliters

= 7000 milliliters

Therefore, 7 liters = 7000 milliliters

Answer: 7 ℓ = 7000 mℓ.


2. Convert 15 liters (ℓ) into milliliters (mℓ).

Solution:

15 liters

We know, 1 liter = 1000 milliliter

= 15 × 1000 ml

= 15000 ml

Therefore, 15 liters = 15000 milliliters

Answer: 15 ℓ = 15000 mℓ.


II. Convert milliliters into liters. 

1. Convert 9000 milliliters (mℓ) into liters (ℓ).

Solution:

We know, 1 mℓ = \(\frac{1}{1000}\) 

7000 mℓ = \(\frac{1}{1000}\) × 9000 ℓ

             = \(\frac{9000}{1000}\) ℓ

             = 9 ℓ

Answer: 9000 mℓ = 9 mℓ.


III. Convert liters milliliters into milliliters. 

1. Convert 4 ℓ 70 mℓ into mℓ.

Solution:

4 l 70 ml

We know, 1 liter = 1000 milliliter

= 4 × 1000 ml + 70 ml

= 4000 ml + 70 ml

= 4070 ml

Therefore, 4 l 70 ml = 4070 milliliters

Answer: 4 70 m = 4070 mℓ


2. Convert 17 ℓ 200 mℓ into mℓ.

Solution:

   17 ℓ 200 mℓ

17 ℓ + 200 mℓ

= (17 × 1000) mℓ + 200 mℓ; [Since, 1 ℓ = 1000 mℓ]

= 17000 mℓ + 200 mℓ

= 17200 mℓ

Answer: 17 ℓ 200 mℓ = 17200 mℓ


IV. Convert milliliters into liters and milliliters. 

1. Express 6000 ml in liters and milliliters:

Solution:

    6000 ml

= 6 liters 000 milliliters

= 6

Therefore, 6000 ml = 6 liter

Answer: 6000 m = 6 


2. Express 3579 m in liters and milliliters:

Solution:

    3579 m

= 3 + 579 m

= 3 579 m

Therefore, 3579 m = 3  579 m

Answer: 3579 m = 3  579 mℓ 


3. Convert 3579 m in and m:

Solution:

    15437 m

= 15 + 437 m

= 15 437 m

Therefore, 15437 ml = 15 l 437 ml

Answer: 15437 m = 15 ℓ 437 mℓ 


4. Convert 6259 m in and m:

Solution:

     6259 mℓ

= 6000 m + 259 m

= 6 ℓ + 259 mℓ; [Since, 1000 mℓ = 1 ℓ]

= 6 259 m

Therefore, 6259 milliliters = 6 liters 259 milliliters

Answer: 6259 mℓ = 6 259 m


Thus, the three digits from the right denote milliliters and remaining digits denote liters.

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