Study P3 Mathematics Volume - Geniebook

# Volume

Volume is the amount of space taken up by an object or the amount of liquid in a container. The unit of volume used in Primary 3 are millilitres ($$\text{mℓ}$$) and litres ($$\text{ℓ}$$).

1. Comparison of volume based on figures
2. Conversion of volume
3. Comparison of volume

## 1. Comparison Of Volume Based On Figures

Question 1:

Which beaker has the least amount of water?

Solution:

Volume of water represents by each marking $$=50 \text{ mℓ }$$

Volume of water in Beaker A $$= 300 \text{ mℓ }$$

Volume of water in Beaker B $$= 350 \text{ mℓ }$$

Volume of water in Beaker C $$= 200 \text{ mℓ }$$

Volume of water in Beaker D $$= 250 \text{ mℓ }$$

Beaker C is the one that contains the least amount of water.

Question 2:

Which beaker has the most amount of water?

Solution:

Volume of water represents by each marking on Beaker A & B $$= 10 \text{ mℓ }$$

Volume of water in Beaker A $$= 60 \text{ mℓ }$$

Volume of water in Beaker B $$= 80 \text{ mℓ }$$

Volume of water represents by each marking on Beaker C & D $$= 50 \text{ mℓ }$$

Volume of water in Beaker C $$= 200 \text{ mℓ }$$

Volume of water in Beaker D $$= 250 \text{ mℓ }$$

Beaker D has the most amount of water

Note: Always take note of the total volume of the container as they can be different for different containers.

## 2. Conversion Of Volume

To convert volume in litres to millilitres and vice versa, we need to remember that:

$$1 \text{ ℓ } = 1000 \text{ mℓ }$$

Question 1:

$$2 \text{ ℓ } =$$  __________ $$\text{ mℓ }$$

Solution:

$$2 \text{ ℓ } = 2000 \text{ mℓ }$$

$$2000 \text{ mℓ }$$

Question 2:

$$3 \text{ ℓ } \; 500 \text{ mℓ } =$$ __________ $$\text{ mℓ }$$

Solution:

\begin{align} 3 \text{ ℓ } &= 3000 \text{ mℓ } \\[2ex] 3000 \text{ mℓ } + 500 \text{ mℓ } &= 3500 \text{ mℓ } \end{align}

Hence,

\begin{align} 3 \text{ ℓ } \; 500 \text{ mℓ } = 3500 \text{ mℓ } \end{align}

$$3500 \text{ mℓ }$$

Question 3

$$5800 \text{ mℓ } =$$ __________ $$\text{ ℓ }$$  __________ $$\text{ mℓ }$$

Solution:

$$5000 \text{ mℓ} =5 \text{ ℓ }$$

Hence,

$$5800 \text{ mℓ} = 5 \text{ ℓ } \;800 \text{ mℓ }$$

$$5 \text{ ℓ } \; 800 \text{ mℓ }$$

## 3. Comparison Of Volume

Question 1:

Arrange the following in ascending order:

$$3 \text{ ℓ }$$,      $$30 \text{ mℓ }$$,       $$3 \text{ ℓ }\; 3 \text{ mℓ }$$,     $$300 \text{ mℓ }$$

Solution:

\begin{align} 3 \text{ ℓ } &= 3000 \text{ mℓ }\\[2ex] 30 \text{ mℓ } &= 30 \text{ mℓ }\\[2ex] 3 \text{ ℓ } \; 3 \text{ mℓ } &= 3003 \text{ mℓ }\\[2ex] 300 \text{ mℓ } &= 300 \text{ mℓ } \end{align}

$$30 \text{ mℓ}, \;300 \text{ mℓ}, \;3 \text{ ℓ}, \;3 \text{ ℓ } \;3 \text{ mℓ}$$

Note: The final answer must be in the original given quantities.

Question 2:

Which of the following has the greatest volume?

1. $$6 \text{ ℓ } \; 660 \text{ mℓ }$$

2. $$6 \text{ ℓ } \;606 \text{ mℓ }$$

3. $$6 \text{ ℓ } \; 600 \text{ mℓ }$$

4. $$6 \text{ ℓ } \; 66 \text{ mℓ }$$

Solution:

No conversion is required as $$6 \text{ ℓ }$$ are common in all.

By comparing the $$\text{ mℓ }$$ in all the options, the greatest volume is $$6 \text{ ℓ } \; 660 \text{ mℓ }$$.

(1) $$6 \text{ ℓ } \; 660 \text{ mℓ }$$

Question 3:

A packet of milk contains $$1 \text{ ℓ } \; 125 \text{ mℓ }$$ of milk.  A jar of apple juice contains $$680 \text{ mℓ }$$ of apple juice. A bottle contains $$1 \text{ ℓ } \; 250 \text{ mℓ }$$ of lemonade juice. Another bottle contains $$780 \text{ mℓ }$$ of chilli sauce. Which of the following is of the least volume?

1. milk
2. apple juice
4. chilli sauce

Solution:

We convert all into millilitres first.
Volume of the packet of milk\begin{align}\\[2ex] &= 1 \text{ ℓ } \; 125 \text{ mℓ }\\[2ex] &= 1125 \text{ mℓ } \end{align}

Volume of the jar of apple juice $$= 680 \text{ mℓ }$$

Volume of the bottle of lemonade $$= 1250 \text{ mℓ }$$

Volume of the bottle of chilli sauce $$= 780 \text{ mℓ }$$

(2) The apple juice is of the least volume.

Question 4:

The diagram below shows the amount of water in 3 beakers at first. Sean poured $$200 \text{ mℓ}$$ of water from Beaker A to Beaker C. He then poured $$100 \text{ mℓ }$$ of water from Beaker C to Beaker B. Finally, he poured $$150 \text{ mℓ }$$ of water from Beaker B to Beaker A. Which beaker had the least amount of water in the end?

Solution:

Volume of water represents by each marking on the beakers $$= 50 \text{ mℓ }$$

Volume of water in Beaker A $$= 300 \text{ mℓ }$$

Volume of water in Beaker B $$= 350 \text{ mℓ }$$

Volume of water in Beaker C $$= 200 \text{ mℓ }$$

Step 1:
Volume of water in Beaker A\begin{align}\\ &= 300 \text{ mℓ } – 200 \text{ mℓ } \\ &= 100 \text{ mℓ } \end{align}
Volume of water in Beaker C\begin{align}\\ &= 200 \text{ mℓ } + 200 \text{ mℓ } \\ &= 400 \text{ mℓ } \end{align}

Step 2:
Volume of water in Beaker C\begin{align}\\ &= 400 \text{ mℓ } – 100 \text{ mℓ } \\ &= 300 \text{ mℓ } & \text{(Final)} \end{align}
Volume of water in Beaker B\begin{align}\\ &= 350 \text{ mℓ } + 100 \text{ mℓ } \\ &= 450 \text{ mℓ } \end{align}

Step 3:
Volume of water in Beaker B\begin{align}\\ &= 450 \text{ mℓ } – 150 \text{ mℓ } \\ &= 300 \text{ mℓ } & \text{(Final)} \end{align}
Volume of water in Beaker A
\begin{align}\\ &= 100 \text{ mℓ } + 150 \text{ mℓ } \\ &= 250 \text{ mℓ } & \text{(Final)} \end{align}

Beaker A has the least amount of water in the end.

Continue Learning
Volume Money
Mass Fractions
Addition And Subtraction Whole Numbers 1
Whole Numbers 3 Whole Numbers 6
Bar Graphs Angles
Multiplication And Division Length, Mass And Volume
Length Area And Perimeter
Parallel And Perpendicular Lines

Primary
Primary 1
Primary 2
Primary 3
English
Maths
Volume
Money
Mass
Fractions
Whole Numbers 1
Whole Numbers 3
Whole Numbers 6
Bar Graphs
Angles
Multiplication and Division
Length, Mass And Volume
Length
Area and Perimeter
Parallel And Perpendicular Lines
Science
Primary 4
Primary 5
Primary 6
Secondary
Secondary 1
Secondary 2
Secondary 3
Secondary 4