In addition of capacity we will learn how to add the different units of capacity and volume together. While adding we need to follow that the units of capacity i.e., liter and milliliter are converted into milliliters before addition and then follow the simple addition process.

We will learn two different methods to solve addition using the standard unit and smaller unit of capacity. Students can practice both the methods.

**(i)** Adding units with conversion into milliliters

**(ii)** Adding units without conversion into milliliters

Worked-out examples on addition of capacity and volume:

**1.** Add 3* l* 600* ml* and 6 *l* 300 *ml*

**Solution:**

**Method 1 **(with conversion into milliliters):

We know, 1 liter = 1000 milliliters

Now liter (*l*) and milliliters (*ml*) are converted into *ml* before doing addition and then we need to follow the simple addition process.

3* l* 600* ml* = (3 × 1000) *ml* + 600 *ml* = 3000 *ml* + 600 *ml* = 3600 milliliters

6 *l* 300 *ml* = (6 × 1000) *ml* + 300 *ml* = 6000 *ml* + 300 *ml* = 6300 milliliters

Now sum,

3600 **ml**

+ __ 6300__** ml**

__ 9900 ml__

= 9 *l* 900 *ml*

**Therefore, 3 l 600 ml + 6 l 300 ml = 9 l 900 ml **

**Method 2 **(without conversion into milliliters):

Here *l* and *ml* are arranged in different columns and then added like ordinary numbers.

(i) *l *and *ml *are arranged column-wise

(ii) 600 *ml *+ 300 *ml *= 900 *ml*

*(iii) 3 **l *+ 6 *l *= 9 *l*

**l ml**

3 600

+__ 6 300__

__ 9 900__

= 9 *l* 900 *ml*

**Therefore, sum of 3 l 600 ml and 6 l 300 ml = 9 l 900 ml.**

**2.** Add 5* l* 725* ml* and 8 *l* 450 *ml*

**Solution:**

**Method 1 **(with conversion into milliliters):

We know, 1 liter = 1000 milliliters

Now liter (*l*) and milliliters (*ml*) are converted into *ml* before doing addition and then we need to follow the simple addition process.

5* l* 725* ml* = (5 × 1000) *ml* + 725 *ml* = 5000 *ml* + 725 *ml* = 5725 milliliters

8 *l* 450 *ml *= (8 × 1000) *ml* + 450 *ml* = 8000 *ml* + 450 *ml* = 8450 milliliters

Now sum,

1

5725 **ml**

+__ 8450 __**ml**

__ 14175 __**ml**

= 14 *l* 175 *ml*

**Therefore, 5 l 725 ml + 8 l 450 ml = 14 l 175 ml **

**Method 2 **(without conversion into milliliters):

Here *l* and *ml* are arranged in different columns and then added like ordinary numbers.

(i) *l *and *ml *are arranged column-wise

(ii) 725* ml *+ 450* ml *= 1* l *175* ml.*175

*(iii) **1 ** l + *5

** l**** ml**

1

5 725

+ __ 8 450__

__ 14 175__

= 14 *l* 175 *ml*

**Therefore, sum of 5 l 725 ml and 8 l 450 ml = 14 l 175 ml.**

More solved examples on addition of capacity where the method is mentioned in the given question.

**3.** Add 17* l* 387* ml*, 7 *l* 750 *ml *and 9 *l *without conversion into milliliters

**Solution:**

Without conversion into milliliters here *l* and *ml* are arranged in different columns and then added like ordinary numbers.

(i) *l *and *ml *are arranged column-wise

(ii) 387* ml *+ 750* ml *= 1* l *137* ml.*137

*(iii) **1 ** l + *17

** l ml**

2 1 1

17 387

7 750

+__ 9 000__

__ 34 137__

= 34 *l* 137 *ml*

**Therefore, sum of 17 l 387 ml, 7 l 750 ml and 9 l = 34 l 137 ml.**

**4.** Add 13* l* 250* ml*, 8 *l* 750 *ml *and 6 *l *with conversion into milliliters

**Solution:**

With conversion into milliliters here we will do the addition process.

We know, 1 liter = 1000 milliliters

Now liter (*l*) and milliliters (*ml*) are converted into *ml* before doing addition and then we need to follow the simple addition process.

13* l* 250* ml* = (13 × 1000) *ml* + 250 *ml* = 13000 *ml* + 250 *ml* = 13250 milliliters

8 *l* 750 *ml *= (8 × 1000) *ml* + 750 *ml* = 8000 *ml* + 750 *ml* = 8750 milliliters

6 *l** *= (6 × 1000) *ml* = 6000 milliliters

Now sum,

111

13250 **ml**

8750 **ml**

+__ 6000 __**ml**

__ 28000 __**ml**

= 28 *l* 000 *ml *

* = *28000 *ml*

**Therefore, ****13 l 250 ml + 8 l 750 ml + 6 l = 28000 ml**

Word problems on addition of capacity and volume:

**5.** Finn purchased 3* l* 250* ml* of milk on Monday, 2 *l* 750 *ml *on Wednesday and 3 *l *500* ml *on Friday. How much milk did Finn purchased during these three days?

**Solution:**

1 1

Milk purchased on Monday = 3 *l* 250 *ml*

Milk purchased on Wednesday = 2* l* 750* ml*

Milk purchased on Friday = 3 *l* 500 *ml*

__+__

Therefore, total milk purchased during these 3 days = 9 *l* 500 *ml*

The above problems on addition of capacity will help the students to practice the worksheet on adding the different units with conversion or without conversion.

● **Related
Concepts **

**●** Conversion
of Standard Unit of Capacity

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