 Study P2 Mathematics Volume 1 - Geniebook   # 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

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Multiplication And Division 2 Addition And Subtraction 1
Addition And Subtraction 2 Fractions 1
Length 1 Mass 1
Volume 1 Money 1
Time 1 Shapes And Patterns
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Model Drawing 4  Primary  Primary 1  Primary 2  English  Maths
Numbers To 1000
Multiplication And Division 1
Multiplication And Division 2
Fractions 1
Length 1
Mass 1
Volume 1
Money 1
Time 1
Shapes And Patterns
Picture Graphs 1
Model Drawing 1
Model Drawing 4  Primary 3  Primary 4  Primary 5  Primary 6  Secondary  Secondary 1  Secondary 2  Secondary 3  Secondary 4      