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# Kilolitre Kiloliter|Definition & Meaning

## Definition

Kilolitre or kiloliter is a metric **volume** unit. It is a prefixed version of the **unit** “liter.” The word “**kilo**” is a prefix equal to **one thousand** units, so **1 kiloliter** equals** 1000** liters. One kiloliter is equal to one** cubic meter** or meter cubed (**m ^{3}**), which is the derived

**SI**unit of volume. It is denoted by

**kL**or

**kl**.

**Figure 1** shows a **cube** with a volume of one **kiloliter**.

A **three-dimensional** object with six **square** faces or sides with **three** faces joined by a common **vertex** is known as a **cube**.

A **square** is a** two-dimensional** shape with all **sides** of equal length. Therefore, a **cube** will also have all the sides of **equal** length.

The three **dimensions** of a cube are called **length**, **width** or breadth, and **height**. If a cube has a **1-meter** length, width, and height, then the volume of the cube will be **1 cubic meter**. It is calculated as follows:

**Volume of Cube = Length × Width × Height**

Volume of Cube = 1 × 1 × 1

Volume of Cube = 1 cubic meter = 1 kL

## Volume

Volume is defined as how much **space** an object **occupies**. Only **three-dimensional** objects can have a volume. For two-dimensional objects, the **area** defines the space occupied on a **plane**. The **volume** is denoted by the letter “**V.**”

### Concept

**Volume** can also be considered as how many **cubes** of 1 cubic meter volume (as shown in figure 1) are required to **fill** the given object. Consider the **rectangular prism** in **figure 2**.

It has a **length** of **4** meters, a **width** of **2 m**, and a **height** of **3 m**. If the rectangular prism is cut from the bottom, the number of **cubes** in this part will be:

4 + 4 = **8**

or

2 + 2 + 2 + 2 = **8**

To calculate the **total** number of **cubes**, consider the **height** of the rectangular prism i.e **3 m**. Adding **8** three times gives **24** that are the total number of **cubes** in the **rectangular** prism. The volume of 1 cube is 1 m$^3$, so the total **volume** will be 24 m$^3$ or** 24 kiloliters**.

### Mathematical Formula

The **volume** of a **solid** or a **liquid** confined in a container is given by the formula:

**V = SA × h**

Where** SA** is the **Surface Area** of the solid and **h** is its **height**. The surface area is the **space** occupied by the **surface** of the solid. The height of the solid is the **vertical** length.

## Volume of Different Solids

The cylinder and triangular prism **volumes** are discussed below.

### Cylinder

A **cylinder** is three dimensional solid with a **circle** as its** base**. The **volume** is given as:

V = SA × h

The **circular** base has a **radius r**, so its surface area will be:

SA of Circle = πr$^2$

Substituting the** surface area**, the **volume** of cylinder will be:

**V = πr$^2$ × h**

### Triangular Prism

A three-dimensional object with a **triangle** as its **base** is known as a triangular prism. The **surface area** of a triangle with a **base b** and **height h** is given as:

SA of Triangle = b × h/2

The triangle extends by a **length l** to make the triangular prism. So, the **volume** of the triangular prism will be:

**V = (b × h/2) × l**

**Figure 3** shows a **cylinder** and a **triangular** prism.

## Various Units of Volume in Kiloliter

**Kiloliter** can be expressed in the form of the following **units**.

### Liter

Liter is a **smaller** unit than a kiloliter. One **liter** is equal to one-thousandth **kiloliters** as:

1 Liter = 1/1000 kiloliters

1 L = 0.001 kL

Multiplying **1000** on both sides gives:

1000 L = 1 kL

Or

**1 kL = 1000 L**

Items such as soda, milk, and other **beverages** are sold in **liters**.

### Milliliter

The milliliter is even **smaller** than the **liter**. It is expressed as “**mL**” or “**ml.**” One milliliter equals one-thousandth liter:

1 milliliter = 1/1000 liters

1 mL = 0.001 L

It can also be expressed as:

1 L = 1000 mL

Also

**1 kL = 1,000,000 mL**

One milliliter is a **minimal** quantity. For example, a **teaspoon** can hold **5** milliliters of liquid.

### Deciliter

**Deci** means “**one-tenth.**” One deciliter(**dL**) is equal to one-tenth of a liter:

1 deciliter = 1/10 Liter

1 dL = 0.1 L

Or

1 L = 10 dL

So

**1 kL = 10,000 dL**

Also

1 dL = 100 mL

### Megaliter

Megaliter(**ML)** is a **large** unit as one megaliter is equal to one **million** liters:

**1 ML = 1,000,000 L**

**ML** can be used to measure the **volume** of water in **lakes** and rivers. Also:

**1 kL = 0.001 ML**

**Figure 4** shows the ascending order of the **volume** units in **liters**.

## Different Units of Volume in Cubic Meter

Variations in the “**cubic meter**” and their relation with liters and **kiloliters** are discussed below.

### Cubic Millimeter

One cubic millimeter (mm$^3$) is equal to **one millionth** of a **liter**:

1 mm$^3$ = 1/1,000,000 L

Therefore:

1 mm$^3$ = 1/1,000,000,000 kL

It can also be written as:

**1 kL = 1,000,000,000 mm$^3$**

### Cubic Centimeter

A **cube** having one **centimeter** on each **side** is known as a cubic centimeter. It is denoted by **cm$^3$** or **cc**. One **cc** is equal to one-thousandth of a **liter**:

1 cc = 1/1000 L

It can be written as:

1 L = 1000 cm$^3$

So:

**1 kL = 1,000,000 cc**

### Cubic Kilometer

The cubic kilometer is a **cube** with all the **sides** equal to one **kilometer(km)**. It is denoted by **km$^3$**. It is a large unit as** 1** cubic kilometer equals one **trillion** liters:

1 km$^3$ = 1,000,000,000,000 L

Since 1 km$^3$ = 1,000,000,000 kL, we have:

**1 kL = 1/1,000,000,000 km$^3$**

### Other Units of Volume

Volume can also be measured in bushels, **gallons**, pints, quarts, bushels, gills, **cubic inches**, and cubic feet.

## Example of Kiloliter Units in Numericals

A **cylinder** has a diameter of **16 m** and a height of **10 m**. Calculate the **volume** of the cylinder in **kiloliters** and deciliters.

### Solution

The **volume** of a cylinder is given by:

V = πr$^2$ × h

The **radius** is half of the **diameter**, so:

r = d/2 = 16/2 = 8 m

We also have the height:

h = 10 m

Calculating the **volume** by putting the values in the equation gives:

V = π(8)$^2$ × 10

V = (3.14)(64) × 10

V = 2009.6 m$^{3}$

As 1 kL = 1 m$^{3}$, so:

**Volume = 2009.6 kL**

To convert in **deciliters**, we have the following relation:

1 kL = 10,000 dL

So, the **volume** in deciliters will be:

V = 2009.6 kL = 2009.6 × 10,000 dL

**Volume = 20,096,000 dL**

*All the images are created using Geogebra.*