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In measurement of capacity we will learn about the standard unit of capacity and volume.
Measurement of Capacity:
Let us learn the concept of measuring the capacity of a container using another container. James filled a jug using 4 bottles, but Mary filled the same jug using 5 cups.
Thus, you can say that the jug can hold 4 bottles or 5 cups of water.
The capacity is the quantity of liquid a container can hold.
We know that the two basic units for the measurement of capacity are litre and millilitre. Litre is the standard unit of measurement of capacity.
Litre is written as βlβ and millilitre as βmlβ.
1 litre = 1000 millilitres or 1β = 1000 mβ
We know that the maximum quantity of a container or vessel can hold is called its capacity.
The capacity of a vessel is also called itβs the inner volume. We use the word volume as the amount of space taken up by a solid. If the mouth of the vessel is closed, it is like a solid. So the space taken by a closed mouth vessel will be called the outer volume of the container/vessel and the capacity of the vessel will be similar to the inner volume of the vessel.
Liter is the standard unit of capacity and the smaller unit of capacity is milliliter. In short liter is written as βlβ and milliliter as βmlβ.
Liter (l) and milliliter (ml) are related to each other as:
1 liter = 1000 milliliter (1 l = 1000 ml).
Different liquids (milk, kerosene oil, diesel, petrol etc.) are measured in liters. Different liquid medicines are measured in ml.
To measure smaller quantities of liquid we use millilitres (ml) and to measure larger quantities of liquids we use litres (l).
Liquids like milk, kerosene oil, diesel, petrol, etc. Are measured in litres, whereas medicines, juice can, soft drink cans etc are measured in ml.
Soft drink in small bottles is measured in millilitres whereas in large bottles it is measured in litres.
There are some standard sized vessels or container of different shapes of one-liter capacity which are used to measure liquids.
Containers used for Measuring Capacity:
Various types of measuring containers are used to measure the capacity of different liquids.
Measurement of Capacity:
Review:
The quantity of a liquid that a container or vessel can hold is called its capacity or volume.
1. Litre is useful for measuring large quantities of liquid.
2. The sign of litres is 'β'.
3. Millilitre is useful for measuring smaller quantities of liquid.
4. The sign of millilitres is 'mβ.
5. To change of β into mβ. Multiply by 1000 or put 3 zeros (000) on the right
1000 ml = 1β
Now, change 5β into mβ
5β = 5 x 1000
= 5000 mβ
6. To change of β mβ into mβ.
Change the β to mβ and then add the mβ.
Now, change 2 β 97 mβ into mβ
2 β 97 mβ
= 2 β + 97 mβ
= 2 Γ 1000 mβ + 97 mβ
= 2000 mβ + 97 mβ
= 2097 mβ
7. Conversion of 'mβ' into 'β' and mβ.
Divide the number of mβ by 1000 then quotient in it is β, remainder in it is mβ.
5641 mβ into β and ml
= 5641 Γ· 1000
= 5 is quotient and remainder is 641
So, 5641 mβ = 5 β 641mβ
Questions and Answers on Standard Unit of Capacity:
I. Match the following:
Answer:
I. (i) β 3
(ii) β 1
(iii) β 2
II. Complete the following table:
Object |
Estimated Capacity |
Actual Capacity |
A water bottle |
__________ |
__________ |
A cup |
__________ |
__________ |
A teaspoon |
__________ |
__________ |
A milk can |
__________ |
__________ |
A
bucket |
__________ |
__________ |
III. Convert into millilitres:
(i) 9 β = _____ mβ
(ii) 5 β = _____ mβ
(iii) 4 β = _____ mβ
(iv) 1 β = _____ mβ
(v) 5 β 231 mβ = _____ mβ
(vi) 6 β 123 mβ = _____ mβ
(vii) 8 β 243 mβ = _____ mβ
(viii) 4 β 245 mβ = _____ mβ
(ix) 2 β 100 mβ = _____ mβ
Answer:
III. (i) 9000 mβ
(ii) 5000 mβ
(iii) 4000 mβ
(iv) 1000 mβ
(v) 5231 mβ
(vi) 6123 mβ
(vii) 8243 mβ
(viii) 4245 mβ
(ix) 2100 mβ
IV. Convert into litres and milliliters:
(i) 4000 mβ = ______________
(ii) 6671 mβ = ______________
(iii) 1450 mβ = ______________
(iv) 3030 mβ = ______________
(v) 2721 mβ = ______________
(vi) 5028 mβ = ______________
(vii) 8673 mβ = ______________
(viii) 1536 mβ = ______________
(ix) 7039 mβ = ______________
(x) 8621 mβ = ______________
(xi) 9999 mβ = ______________
(xii) 6895 mβ = ______________
Answer:
IV. (i) 4 β
(ii) 6 β 671 mβ
(iii) 1 β 450 mβ
(iv) 3 β 30 mβ
(v) 2 β 721 mβ
(vi) 5 β 28 mβ
(vii) 8 β 673 mβ
(viii) 1 β 536 mβ
(ix) 7 β 39 mβ
(x) 8 β 621 mβ
(xi) 9 β 999 mβ
(xii) 6 β 895 mβ
β Related Concepts
β Conversion of Standard Unit of Capacity
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