Mathematics: Capacity
Grade 4
1
Measurement: Capacity
Volume: Quick Facts
The capacity of a container, is the maximum amount of liquid that the container
can hold.
1000ml
The volume of the container, is the amount of liquid that is in the container.
750ml
In this example, the Capacity of the container is 1 ℓ or 1 000 mℓ.
500ml
The Volume of the container is 750 mℓ.
250ml
1 ℓ = 1 000 mℓ
REMEMBER:
1 cup = 250 ml
1 teaspoon = 5 ml
1 tablespoon = 15 ml
Measuring volume
Write down the volume of liquid in each of the following containers:
A
B
C
150 ml
3 litre
700 ml
100 ml
2 litre
400 ml
50 ml
1 litre
100 ml
A:
_____________
B: _____________
C: ______________
1.
What will the volume of container A be, if;
a)
125 mℓ of liquid is added?
_________________________________
b)
the liquid is halved?
_________________________________
2.
What will the volume of container B be, if;
a)
¼ of the liquid is removed?
_________________________________
b)
the liquid is doubled?
_________________________________
c)
Will the capacity of container B be enough to hold the liquid, if the liquid is doubled?
__________________________________________________________________
3.
What is the total volume of liquid in litres of containers A, B and C?
__________________________________________________________________
Mathematics: Capacity
Grade 4
2
Converting Capacity
Convert the following to millilitres:
1. 3 ℓ = ______________________
2. 3,250 ℓ = ______________________
3. 25,024 ℓ = ______________________
4. 0,040 ℓ = ______________________
Convert the following to litres:
1. 45 mℓ = ______________________
2. 43 251 mℓ = ______________________
3. 207 mℓ = ______________________
4. 5 002 mℓ = ______________________
1.
1 367 mℓ is equal to __________ ℓ
2.
¼ litre is equal to __________ mℓ
3.
309 mℓ is equal to _________ ℓ
4.
Triple 2,5 ℓ is equal to ________ mℓ
5.
½ of 1 litre is equal to __________ mℓ
6.
23,008 ℓ is equal to _____ℓ____ mℓ
7.
Double 750 mℓ is equal to _________ ℓ
8.
A measuring cup holds ________ mℓ
9.
10 mℓ is equal to __________ ℓ
10.
3 teaspoons hold ________ mℓ
Reading Capacity
Write the reading shown on each graduated cylinder.
Mathematics: Capacity
3
Capacity: Problem Solving
Calculate the capacity of each object.
1.
2.
3.
How much water should you pour out from each jug to have 600 mℓ in each jug.
Grade 4
Mathematics: Capacity
Grade 4
4
Capacity: Problem Solving
1. Sophie invited 5 friends over for tea. How much tea does she need to prepare for each of
them each to have one cup of tea?
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
2. Ellie is mixing juice for the soccer tournament. She needs 2 500 mℓ for one team, there are
7 teams. How many litres of juice does Ellie need to mix?
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
3. Charlie buys 5 ℓ of milk, 250 mℓ of cream, 600 mℓ of orange juice and 1,5 ℓ of water at the
shops. What volume of liquid did he buy altogether? (Give your answer in ℓ)
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
4. Joseph has 6 baths, 7 showers and brushes his teeth 14 times in 7 days. How much water
does he use altogether, according to the information below?
=4ℓ
= 60 ℓ
= 52 ℓ
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
5. If 3 packets of Minute Maid is used to make 1,8 litres of juice, how
many packets will be needed to make 5,5 litres of juice?
__________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
________________________
Mathematics: Capacity
Grade 4
5
Measurement: Capacity
Measuring volume—MEMO
Write down the volume of liquid in each of the following containers:
A:
500 m ℓ
B: 80 mℓ
C: 2,750 litres
1.
What will the volume of container A be, if;
a)
125 mℓof liquid is added?
500 mℓ + 125 mℓ= 625 mℓ
b) the liquid is halved?
500 mℓ ÷ 2 = 250 mℓ
2.
What will the volume of container B be, if;
a)
¼ of the liquid is removed?
80 mℓ ÷ 4 = 20 mℓ 80 mℓ - 20 mℓ= 60 mℓ
b) the liquid is doubled?
80 mℓ x 2 = 160 mℓ
c)
Will the capacity of container B be enough to hold the liquid, if the liquid is doubled?
No, the container has a capacity of 150 mℓ
3.
What is the total volume of liquid in litres of containers A, B and C?
500 mℓ + 80 mℓ + 2 750 mℓ= 3 330 mℓ or 3,33 ℓ
Converting Capacity—MEMO
Convert the following to millilitres:
1. 3 ℓ = 3 000 mℓ
2. 3,250 ℓ = 3 250 mℓ
3. 25,024 ℓ = 25 024 mℓ
4. 0,040 ℓ = 40 mℓ
Convert the following to litres:
1. 45 mℓ = 0,045 ℓ
2. 43 251 mℓ = 43,251 ℓ
3. 207 mℓ = 0,207 ℓ
4. 5 002 mℓ = 5,002 ℓ
1.
3.
5.
7.
9.
1 367 mℓ is equal to 1,367 ℓ
309 mℓ is equal to 0,309 ℓ
½ of 1 litre is equal to 500 mℓ
Double 750 mℓ is equal to 1,5 ℓ
10 mℓ is equal to 0,010 ℓ
2.
4.
6.
8.
10.
¼ litre is equal to 250 mℓ
Triple 2,5 ℓ is equal to 7 500 mℓ
23,008 ℓ is equal to 23 ℓ 8 mℓ
A measuring cup holds 250 mℓ
3 teaspoons hold 15 mℓ
Reading Capacity—MEMO
Write the reading shown on each graduated cylinder.
1. 22 mℓ
2. 29 mℓ
3. 460 mℓ
4. 15 mℓ
5. 330 mℓ
Capacity: Problem Solving—MEMO
Calculate the capacity of each object.
1. 200 mℓ ÷ 5 = 40 mℓ
2. 300 ℓ ÷ 2 = 150 ℓ
3. 1 ℓ ÷ 4 = 250 mℓ
How much water should you pour out from each jug to have 600 mℓ in each jug.
A. 700 mℓ - 600 mℓ = 100 mℓ
B. 1 200mℓ - 600 mℓ = 600mℓ
Mathematics: Capacity
Grade 4
6
Capacity: Problem Solving—MEMO
1. Sophie invited 5 friends over for tea. How much tea does she need to prepare for each them
each to have one cup of tea?
6 x 250 mℓ = _________ mℓ
6 x 250 mℓ = 1 500 mℓ
Sophie needs to prepare 1 500 mℓ / 1,5 ℓ of tea.
2. Ellie is mixing juice for the soccer tournament. She needs 2 500 mℓ for one team, there are
7 teams. How many litres of juice does Ellie need to mix?
7 x 2 500 mℓ = ___________ mℓ
7 x 2 500 mℓ = 17 500 mℓ
Ellie needs to mix 17,5 ℓ of juice for the 7 teams.
3. Charlie buys 5 ℓ of milk, 250 mℓ of cream, 600 mℓ of orange juice and 1, 5 ℓ of water at the
shops. What volume of liquid did he buy altogether? (Give your answer in ℓ)
5 ℓ + 250 mℓ + 600 mℓ + 1,5 ℓ = ____________
5 000 mℓ + 250 mℓ + 600 mℓ + 1 500 mℓ = 7 350 mℓ
Charlie bought a total of 7,350 ℓ of liquid altogether.
4. Joseph has 6 baths, 7 showers and brushes his teeth 14 times in 7 days. How much water
does he use altogether, according to the information below?
=4ℓ
= 60 ℓ
= 52 ℓ
(6 x 60 ℓ) + (7 x 52 ℓ) + (14 x 4 ℓ) = _________ ℓ
360 ℓ + 364 ℓ + 56 ℓ = 780 ℓ
Joseph uses a total of 780 ℓ.
5. If 3 packets of Minute Maid is used to make 1,8 litres of juice, how many
packets will be needed to make 5,5 litres of juice?
1 800 mℓ ÷ 3 = _________
5 500 mℓ ÷ 600 mℓ= ________
be added to make 5 500 mℓ.
1 800 mℓ ÷ 3 = 600 mℓ
600 mℓ x 9 = 5 400 mℓ therefore one more packet should
10 packets will be needed to make at least 5,5 litres of juice.