Mathematics Capacity

Class: Basic 3

Subject: Mathematics
Topic: Capacity (REVISION)

Introduction to Capacity

Capacity refers to the amount of liquid a container can hold. Liquids are substances such as water, milk, kerosene, oil, petrol, juice, and more. The measurement of liquid quantities is done using standard units, primarily litres (L) and millilitres (ml).

Key Units of Capacity

1. Millilitre (ml): A small unit used to measure liquids.
2. Centilitre (cl): 10 ml = 1 cl.
3. Decilitre (dl): 10 cl = 1 dl.
4. Litre (L): 10 dl = 1 L.
5. Kilolitre (kl): 1000 L = 1 kl.

Conversion Between Units

Understanding how to convert between units of capacity is essential. Below are some critical conversions:

• 10 millilitres (ml) = 1 centilitre (cl)
• 10 centilitres (cl) = 1 decilitre (dl)
• 10 decilitres (dl) = 1 litre (L)
• 1000 litres (L) = 1 kilolitre (kl)

Abbreviations for Units:

• ml = Millilitre
• cl = Centilitre
• dl = Decilitre
• L = Litre
• kl = Kilolitre

Examples for Better Understanding

1. Converting Millilitres to Litres and Millilitres

Example 1:
Convert 1200 ml to litres and millilitres.

• 1200 ml = 1000 ml + 200 ml
• Since 1000 ml is equivalent to 1 L, we get:
  Answer: 1 L 200 ml.

Example 2:
Convert 1800 ml to litres and millilitres.

• 1800 ml = 1000 ml + 800 ml
• Since 1000 ml = 1 L, we get:
  Answer: 1 L 800 ml.

These examples highlight the importance of understanding unit conversions.

For more detailed explanations on liquid measurement and capacity conversions, refer to the National Institute of Standards and Technology.

Class Activity 1:

Convert the following quantities into litres and millilitres:

1. 1500 ml
2. 750 ml
3. 4400 ml

Hint:

Use the conversion: 1000 ml = 1 L and Remaining ml stays as millilitres.

2. Converting Litres and Millilitres to Millilitres Only

Example 1:
Convert 1 L 250 ml to millilitres.

• 1 L = 1000 ml
• Therefore:
  Answer: 1000 ml + 250 ml = 1250 ml.

Example 2:
Convert 3 L 150 ml to millilitres.

• 3 L = 3 × 1000 = 3000 ml
• Therefore:
  Answer: 3000 ml + 150 ml = 3150 ml.

Class Activity 2:

Convert the following to millilitres only:

1. 8 L 330 ml
2. 7 L 200 ml
3. 5 L 950 ml

Hint:

Multiply the number of litres by 1000 to convert to millilitres, then add the remaining millilitres.

Fill-in-the-Blank Questions on Capacity

1. The standard unit used to measure liquid is ________.
   (a) Gram
   (b) Kilogram
   (c) Litre
   (d) Meter
2. 1 litre is equivalent to ________ millilitres.
   (a) 500 ml
   (b) 100 ml
   (c) 1000 ml
   (d) 10000 ml
3. The unit used for smaller amounts of liquid is ________.
   (a) Litre
   (b) Millilitre
   (c) Kilolitre
   (d) Decilitre
4. 10 millilitres is equal to ________ centilitres.
   (a) 1 cl
   (b) 2 cl
   (c) 5 cl
   (d) 10 cl
5. 1 kilolitre (kl) equals ________ litres.
   (a) 100
   (b) 500
   (c) 1000
   (d) 5000
6. 100 millilitres equals ________ centilitres.
   (a) 1 cl
   (b) 10 cl
   (c) 100 cl
   (d) 1000 cl
7. To convert millilitres to litres, you divide by ________.
   (a) 100
   (b) 1000
   (c) 10
   (d) 10000
8. 1 centilitre (cl) is equal to ________ millilitres.
   (a) 10
   (b) 100
   (c) 1000
   (d) 1
9. The unit used to measure large amounts of liquid, such as water in a lake, is ________.
   (a) Litre
   (b) Millilitre
   (c) Kilolitre
   (d) Centilitre
10. 200 millilitres equals ________ litres.
    (a) 0.2 L
    (b) 2 L
    (c) 20 L
    (d) 2000 L
11. The conversion from litres to millilitres involves multiplying by ________.
    (a) 100
    (b) 1000
    (c) 10
    (d) 500
12. 10 decilitres is equal to ________ litres.
    (a) 1 L
    (b) 0.1 L
    (c) 0.01 L
    (d) 0.5 L
13. The unit used for measuring liquids in a very small quantity is ________.
    (a) Litre
    (b) Kilolitre
    (c) Millilitre
    (d) Decilitre
14. 3 litres and 500 millilitres is equal to ________ millilitres.
    (a) 3500 ml
    (b) 3000 ml
    (c) 4000 ml
    (d) 5000 ml
15. The amount of liquid a container can hold is known as its ________.
    (a) Weight
    (b) Volume
    (c) Temperature
    (d) Density

Class Activity Discussion

1. What is capacity?
   Answer: Capacity refers to the amount of liquid a container can hold.
2. What is the smallest unit of capacity?
   Answer: The smallest unit is millilitres (ml).
3. How many millilitres make one litre?
   Answer: 1000 millilitres (ml) make one litre (L).
4. What is a kilolitre?
   Answer: A kilolitre (kl) is equal to 1000 litres (L).
5. How do you convert millilitres to litres?
   Answer: To convert millilitres to litres, divide by 1000.
6. How many millilitres are in a centilitre?
   Answer: 1 centilitre (cl) equals 10 millilitres (ml).
7. How do you convert litres to millilitres?
   Answer: To convert litres to millilitres, multiply by 1000.
8. What does 1 litre equal in millilitres?
   Answer: 1 litre equals 1000 millilitres.
9. What is the unit used for measuring large amounts of liquid?
   Answer: Kilolitre (kl) is used to measure large amounts of liquid.
10. What is the equivalent of 10 millilitres in centilitres?
    Answer: 10 millilitres equals 1 centilitre.
11. Why is it important to understand capacity?
    Answer: Understanding capacity helps in practical situations like cooking, filling containers, and understanding liquid measurements in daily life.
12. How many centilitres make a decilitre?
    Answer: 10 centilitres make 1 decilitre.
13. What is the conversion factor for decilitres to litres?
    Answer: 10 decilitres (dl) equal 1 litre (L).
14. Can you use kilolitres to measure smaller amounts of liquid?
    Answer: No, kilolitres are used for large quantities, such as in lakes or large storage tanks.
15. What are common items measured in millilitres?
    Answer: Items like medicine, drinks, and small containers are often measured in millilitres.

Evaluation Questions on Capacity

1. How many millilitres are in 3 litres?
2. Convert 2000 ml to litres.
3. If a container holds 5 L 400 ml, how many millilitres is that?
4. Convert 5 centilitres to millilitres.
5. How many millilitres are in 2 L 500 ml?
6. A jug holds 3 L 200 ml of water. How many millilitres of water are in the jug?
7. Convert 4500 ml to litres.
8. If a tank holds 7 L 600 ml, how many litres does it hold?
9. How many millilitres are there in 4 litres and 150 ml?
10. Convert 8 L 750 ml to millilitres.

Conclusion

This revision on capacity aims to enhance your understanding of liquid measurements and conversions. By converting between millilitres, centilitres, decilitres, and litres, you can confidently solve real-life problems related to capacity.

For more interactive learning on capacity and measurement, check out Khan Academy’s Measurement and Capacity Lessons.

Additional Resources

• National Institute of Standards and Technology: Unit Conversions
• Khan Academy: Measurement and Capacity
• BBC Bitesize: Measurement Units

These resources will help you deepen your understanding and provide practical tools for solving capacity-related problems.