# Volume 1

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

- Understanding Volume
- 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 __________.

- A, B
- B, C
- C, D
- A, D

**Answer:**

(2)

**Question 4:**

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

- B, A
- D, C
- B, D
- 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.

- Bottle A contains __________ water than Bottle B.
- 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: **

- Bottle A contains more water than Bottle B.
- 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.

- Jar X, Jar Z, Jar Y
- Jar Y, Jar X, Jar Z
- 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?

- 28 ℓ
- 30 ℓ
- 36 ℓ
- 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?

- 16 ℓ
- 18 ℓ
- 20 ℓ
- 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?

- 6 ℓ
- 8 ℓ
- 10 ℓ
- 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