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
Workedout 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 columnwise
(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 columnwise
(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 columnwise
(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
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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