Addition of Capacity

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

We can add two or more units of capacity l and ml just like ordinary numbers.

Worked-out Examples on Addition of Capacity and Volume:

1. Add 3 l 600 ml and 6 l 300 ml

Solution:

Method I: (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 II: (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 I: (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 II: (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 ml is placed under ml. 1 l is taken in l column.

(iii) 1 l + 5 l + 8 l = 14 l

              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 ml is placed under ml. 1 l is taken in l column.

(iii) 1 l + 17 l + 7 l + 9 l = 34 l

                    l       ml

                   21     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

5. Add 36 l 275 ml and 16 l 150 ml.

Solution: Arrange the numbers vertically. First, add the milliliters. 275 ml + 150 ml = 425 ml Add the liters 36 l + 16 l = 52 l

Hence, 36 l 275 ml + 16 l 150 ml = 52 l 425 ml

6. Add 150 l 810 ml and 90 l 300 ml

Solution:

Arrange the numbers vertically. First, add the milliliters. 810 ml + 300 ml = 1110 ml                          = 1 l 110 ml Write 110 under ml column and carry over 1 l to the liters column. Add the liters 150 l + 90 l + 1 = 241 l

Hence, 150 ℓ 810 mℓ + 90 ℓ 300 mℓ = 241 ℓl 110 mℓ

For addition, write the number of mℓ and ℓ in separate columns then add like ordinary numbers. starting from the right.

7. Add 27 ℓ 450 mℓ & 52 ℓ 120 mℓ.

Solution:

                   mℓ      ℓ

                   27     450

             +   52     120 

                  79      570 

Answer: 79 mℓ 570 mℓ

8. Add 214 ℓ 321 mℓ, 426 ℓ 932 mℓ & 358 ℓ 416 mℓ.

Solution:

                     mℓ           ℓ

                     1   1  

                   2 1 4      3 2 1

                   4 2 6      9 3 2

             +   3 5 8      4 1 6 

                  9 9 9      6 6 9 

Answer: 999 mℓ 669 mℓ

9. Find the sum of the capacity: 28 ℓ 32 mℓ + 73 ℓ 68 mℓ

Solution: 28 ℓ 32 mℓ + 73 ℓ 68 mℓ First add mℓ     = 32 mℓ + 68 mℓ                       = 100 mℓ Now add liters  = 28 ℓ + 93 ℓ                        = 121 ℓ

Therefore, required sum = 121 ℓ 100 mℓ

Word Problems on Addition of Capacity and Volume:

ADDITION OF LITRES AND MILLILITRES

9. 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

10. Nisha poured 5 litres 250 millilitres of water in a bucket. Tanya poured 6 litres 500 millilitres of water in the same bucket. How much water is there in the bucket now?

Solution:

Write ℓ and mℓ in columns as shown.

Step I: Add mℓ first. 250 + 500 = 750 Write 750 in the mℓ column. Step II: Add ℓ now. 5 + 6 = 11 Write 11 in the ℓ column.

Therefore, the total quantity of water in the bucket is 11 ℓ 750 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.

Worksheet on Addition of Capacity:

I. Add the following:

(i) 7 l 152 ml + 2 l 339 ml

(ii) 5 l 240 ml + 7 l 860 ml

(iii) 70 l 000 ml + 22 l 504 ml

(iv) 13 l 1290 ml + 18 l 160 ml

(v) 32 l 540 ml + 18 l + 210 ml

(vi) 19 l 300 ml + 3 l 900 ml

(vii) 62 l 200 ml + 15 ml 385 ml

(viii) 120 l + 625 ml + 30 l 750 ml

(ix) 21 l 845 ml + 32 l 116 ml + 38 l 082 ml

Answers:

I. (i) 9 l 491 ml

(ii) 13 l 100 ml

(iii) 92 l 504 ml

(iv) 31 l 450 ml

(v) 50 l 750 ml

(vi) 23 l 200 ml

(vii) 77 l 585 ml

(viii) 151 l 375 ml

(ix) 92 l 43 ml

II. Add the following:

Answer:

2. (i) 69 ℓ 59 mℓ

(ii) 98 ℓ 65 mℓ

(iii) 38 ℓ 35 mℓ

(iv) 92 ℓ 99 mℓ

(v) 41 ℓ 404 mℓ

(vi) 86 ℓ 425 mℓ

(vii) 122 ℓ 260 mℓ

(viii) 100 ℓ 00 mℓ

(ix) 53 ℓ 977 mℓ
 
(x) 77 ℓ 884 mℓ

(xi) 49 ℓ 510 mℓ

(xii) 63 ℓ 279 mℓ

(xiii) 584 ℓ 317 mℓ

(xiv) 902 ℓ 150 mℓ

(xv) 564 ℓ 600 mℓ

(xvi) 403 ℓ 945 mℓ

● Related Concepts

● Standard Unit of Capacity

● Conversion of Standard Unit of Capacity

● Subtraction of Capacity

3rd Grade Math Worksheets

3rd Grade Math Lessons

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