# Volume 1

1. Understanding Volume
2. Measuring Volume in Litres

## 1. Understanding Volume

Volume is the amount of space taken up by the liquid in a container. It is a measure of the amount of liquid in the container.

Example 1:

Tank A has more water than Tank B.

Tank B has less water than Tank A.

Tank A has a greater volume of water than Tank B.

Tank B has a smaller volume of water than Tank A.

Example 2:

Tank A has the same volume of water as Tank C.

Tank D has more water than Tank A.

Tank B has less water than Tank C.

Tank D has the greatest volume of water.

Tank B has the smallest volume of water.

Question 1:

The cups shown below are identical. Which cup has a smaller volume of water?

(2)

Question 2:

The containers shown below are identical. Which container has the greatest volume of water?

(1)                                              (2)
(3)

(1)

Question 3:

The jugs shown below are identical. Jug __________ has more water than Jug __________.

1. A, B
2. B, C
3. C, D
4. A, D

(2)

Question 4:

The jugs shown below are identical. Jug __________ has less water than Jug __________.

1. B, A
2. D, C
3. B, D
4. A, C

(3) B, D

Question 5:

Bottle A and Bottle B are of the same size. Water from the bottles is poured into cups of the same size. Fill in the blanks with more/less.

1. Bottle A contains __________ water than Bottle B.
2. The volume of water in Bottle B is __________ than the volume of water in Bottle A.

Solution:

Bottle A contains 5 cups of water.

Bottle B contains 2 cups of water.

1. Bottle A contains more water than Bottle B.
2. The volume of water in Bottle B is less than the volume of water in Bottle A.

Question 6:

Jars X, Y and Z are the same size. Hannah uses cups of the same size to measure the volume of milk in Jars X, Y and Z.

Arrange the jars, starting from the one with the greatest volume of milk to the one with the smallest volume of milk.

1. Jar X, Jar Z, Jar Y
2. Jar Y, Jar X, Jar Z
3. Jar Y, Jar Z, Jar X

Solution:

Jar X can hold 4 cups of water.

Jar Y can hold 8 cups of water.

Jar Z can hold 6 cups of water.

(3) Jar Y, Jar Z, Jar X

## 2. Measuring Volume In Litres

Volume is the amount of space taken up by the liquid in a container. It is a measure of the amount of liquid in the container. The unit for volume of liquid is litre. We write ℓ for litre.

Example 1:

Five bottles of water of 1 ℓ each are used to fill up an empty container completely. What is the volume of water in the container?

Solution:

Volume of water in the container

$= 1 \;\ell + 1 \;\ell + 1 \;\ell + 1 \;\ell + 1 \;\ell$

$= 5\;\ell$

OR

$5 \times 1 \;\ell = 5\;\ell$

5 ℓ

Question 1

What is the volume of water in the tank if all the water from the 8 ℓ bottle and the two 15 ℓ jugs shown below are poured into it?

1. 28 ℓ
2. 30 ℓ
3. 36 ℓ
4. 38 ℓ

Solution:

Volume of water in the tank

$= 8 \;\ell + 15 \;\ell + 15 \;\ell$

$= 38 \;\ell$

(4) 38 ℓ

Question 2:

All the water from the bottle and the 2 jugs are poured into the tank below. What is the volume of water in the tank?

1. 16 ℓ
2. 18 ℓ
3. 20 ℓ
4. 24 ℓ

Solution:

Volume of water in the two jugs

$= 2 \times 4\;\ell$

$= 8\;\ell$

Volume of water in the bottle $= 12 \;ℓ$

Volume of water in the tank now

$= 8 \;\ell + 12 \;\ell$

$= 20 \;\ell$

(3) 20 ℓ

Example 2:

Five cups of water are needed to fill a jug completely. Two jugs and two cups of water are used to fill a kettle completely. What is the volume of water in the kettle?

Solution:

Volume of water in the jug

$= 5 \times 1\;\ell$

$= 5 \;\ell$

Volume of water in the kettle

$=$ Volume of water in 2 jugs $+$ Volume of water in 2 cups

$= 1 \;\ell + 1 \;\ell + 1 \;\ell + 1 \;\ell + 1 \;\ell$

$= 5 \;\ell$

12 ℓ

Question 3

Three mugs of water are needed to fill a teapot completely. One teapot and two mugs of water are used to fill a pot completely. What is the volume of water in the pot?

1. 6 ℓ
2. 8 ℓ
3. 10 ℓ
4. 4 ℓ

Solution:

Volume of water in the teapot

$= 3 \times 2 \;\ell$

$= 6 \;\ell$

Volume of water in the pot

$=$ Volume of teapot $+$ Volume of 2 cups

$= 6 \;\ell + 2\;\ell + 2 \;\ell$

$=10\;\ell$

(3) 10 ℓ

• Understanding Volume
• Measuring Volume in Litres

Continue Learning
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Multiplication And Division 2 Addition And Subtraction 1
Addition And Subtraction 2 Fractions 1
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Picture Graphs 1 Model Drawing 1
Model Drawing 4

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