Study P2 Mathematics Volume 1 - Geniebook

Volume 1

In this article, we are going to learn about Volume. The learning objectives are:

  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?

Answer:

(2)


 

Question 2:

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


(1)                                              (2)
                                             (3)

 

Answer:

(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

 

Answer:

(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

 

Answer:

(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.

Answer: 

  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. 

Answer:

(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

\(5 \times 1 \;\ell = 5\;\ell\)

Answer:

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

\(= 8 \;\ell + 15 \;\ell + 15 \;\ell\)

\(= 38 \;\ell\)

Answer:

(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

\(= 8 \;\ell + 12 \;\ell\)

\(= 20 \;\ell\)

Answer:

(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 

\(= 1 \;\ell + 1 \;\ell + 1 \;\ell + 1 \;\ell + 1 \;\ell\)

\(= 5 \;\ell\)

Answer:

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

\(= 6 \;\ell + 2\;\ell + 2 \;\ell\)

\(=10\;\ell\)

Answer:

(3) 10 ℓ


 

In this article, we have learnt Volume: 

  • 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
Length 1 Mass 1
Volume 1 Money 1
Time 1 Shapes And Patterns
Picture Graphs 1 Model Drawing 1
Model Drawing 4  

 

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