# Capacity Measure

**Subject Mathematics**

**Term : Second Term **

**Class:- Basic 6**

**Subject:- Mathematics**

**Week:- 7**

**Topic: Capacity**

**Behavioral objective:-**

** At the end of the lesson the pupils should be able to:-**

**1. Do some conversions involving units of capacity**

**2. Identify the relationship between capacity and volume**

**3. Carry out basic operations on capacity**

**4. Solve word problems on capacity**

**Instructional material/Reference material:- **

**Online ****Materials **

**Textbooks**

** Workbooks **

**Wall charts**

** Pictures**

**Building Background /connection to prior knowledge : **

**Students have previous knowledge of three dimensional shapes **

**Content**

**The volume of an object is the space occupied by the object.**

**The capacity of an object is the amount of substance (either liquid or solid) it can hold or contain.**

**Table on capacity**

**10 millilitres (ml) = 1 centilitre (cl )**

**10 centilitres (cl) = 1 decilitre (dl )**

**10 decilitres (dl ) = 1 litre (l)**

**From the table above, it can be deduced that **

**10ml× 10ml × 10ml = 1000ml = 1 litre. **

**Table on volume**

** .10mm × 10mm × 10mm = 1cm × 1cm × 1cm ∴ 1000mm3 = 1cm3**

**10cm × 10cm × 10cm = 1dm × 1dm × 1dm ∴ 1000cm3 = 1dm3**

**10dm × 10dm × 10dm = 1m × 1m × 1m. ∴ 1000dm3 = 1m3**

**Note: A cube with sides of 10cm contains 1 litre of a liquid.**

**Volume of the cube = 10cm × 10cm × 10cm = 1000cm3**

**Capacity of the cube = 1litre**

**Hence 1000cm3 = 1litre = 1000PƐ ∴ 1cm3 = 1litre**

**Table of cubic measures**

**Basic operation on capacity **

**Evaluation:- **

**1. The flow of water into a cistern is 27.5 litres every second. How much water flows into the cistern in one hour?**

**2. Milk arrives at a Super Mart in a container which holds 97.2 litres and is used to fill 6 milk bottles all of equal volume. How much milk will one bottle hold?**

** 3. A cow provides 5.6 litres of milk every day. How much milk would 25 cows, each producing the same quantity of milk, produce in 9 days?**

** 4. If a litre of paint weighs 895 grams, find the weight of 17 litres of paint in kilograms.**

** 5. A petrol tanker supplies a filling station 22500NƐ of fuel. How many cars with a tank capacity of 25 litres are needed to empty the petrol tank?**

** 6. A dairy served 2211 customers with milk. 780 of them had 1 litre every day of the week except 2 litres on Sunday, 806 had a 12 litre every day of the week except 1 litre on Sunday and the rest had 2 litres every day of the week. How much milk was sold in a week?**

**7. A water tank can contain 4500 litres of water when full. If it has a daily leakage of 1.2 litres, how many litres will be left in the tank after 2 weeks?**

** 8. The pharmacist pours syrup in 230PƐ bottles. If she has 92 litres to pour into the 230PƐ bottles, how many bottles will she pour into?**

**9. The gas station attendant paid the sum of Ώ192725.00 to the cashier by midday. If gas is sold for Ώ65 per litre, how much gas did she sell?**

**10. Rosy bought 30 litres of lemonade for a breakfast fellowship. How many mugs of lemonade can she pour if each mug holds 300 millilitres?**