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# Cubic Meter|Definition & Meaning

## Definition

A **cubic** **meter** is the standard unit of **volume** (in that it is derived from the SI base unit, **meter**), denoted as m^{3}. Physically, it is the **volume** of a cube that is 1 **meter** on all three sides (length, height, and depth). An important result is that one **cubic** **meter** equals a thousand liters.

## What Is a Cubic Meter?

A **cubic** **meter** or also known as **meter** cube **meter**** ^{3}**, is a unit described by the international systems of units. A

**meter**cube is used for defining the

**volume**of a

**3-dimensional**object. The object has to be 1

**meter**long, 1

**meter**wide, and 1

**meter**tall for the

**cubic**

**meter**to be accurate.

A **cubic** **meter** is also equivalent to **1000** **liters**, which means that you can put 1000 liters of water inside a cube of 1-**meter** **measurement** on all sides. The symbol to represent a **meter** cube is m^{3}.

It is called a **cubic** **meter** because all the sides of a cube have equal length, and if one side is of 1-**meter** then the **volume** of a cube becomes,

Volume = length x breadth x width

Since,

length = breadth = width = 1 m

Volume = V = 1m x 1m x 1m

V = 1m^{3} or 1-**meter** cube

The edge-to-edge distance of a cube must be 1 **meter** in length so that the **volume** can be calculated as 1 **cubic** **meter**. Another name that is used rarely in mathematical or physical literature is **kiloliter**, as 1000 is equal to a **kilo**.

Suppose you are **building** a sand castle, and you are interested in knowing how much sand you carry at every bucket full. For this, you need to know the **volume** of the bucket you are filling.

Cubic **meters** help determine the **volume** of any solid or liquid inside an object, like a bucket. To measure the exact **volume** of sand, fill the bucket until it is fully equipped with sand. Similarly, measuring the **volume**s of other objects, like the amount of **space** inside a deep **refrigerator**, the amount of soil required to suffice up a gardening bed, or the amount of water required to fill up a mini pool.

Visualizing a **cubic** **meter** is a bit hard task to **perform**, but it can be said that a person could fill up a container of 1 **cubic** **meter** **volume** with 260 gallons of milk.

## What Is Volume?

The phrase **volume** can have different meanings depending on the type of application, it can be the **volume** of music on the radio or the ones we use in geometrical applications, but in mathematics, **volume** is the total space occupied by a **3-dimensional **object in a given space.

Since it covers up space in **3-dimensional **geometry, its units are measured in sets of cubes such as **cubic** **meters**, **cubic** **inches**, etc.

### Explanation In Real Life

The concept of **volume** is used in everyday problems, from measuring the milk you buy from the store to filling up your backyard with **gardening** **soil**. Understanding the notion of **volume** will be especially crucial for any individual who plans to purchase **compost** for their lawn in the future.

Instead of being offered by mass, compost is frequently sold by **volume**. Some retailers sell sacks with **cubic** foot measurements. Massive amounts are offered mostly in **cubic** yards by some providers. It’s crucial to understand that one **cubic** yard contains 27 **cubic** **feet** while examining **costs**.

Water tables in the open **sea** are increasing by a decade due to **human**–**caused** climate change. However, predicting how large and how quickly they would grow is crucial for **researchers**.

Researchers can predict rising **sea** levels by estimating the **volume** of **glaciers** contained inside **icecaps**, such as those in **Antarctica** and **Greenland**. The encouraging stuff, as of 2022, is changing gradually, at a pace of around 1 inch per ten years. Is it **devastating** news? Around the year **2100**, water levels would likely be 1.5–3, **surpassing** due to the **acceleration** of climate change.

## Calculating Cubic Meter Volume

A **cubic** **meter** is an SI unit for calculating the **volume** of a **3-dimensional **solid. A **cubic** **meter** is used to calculate the **volume** of liquid and solids, but since liquids are difficult to contain, the end result is just the **volume** of the solid they are collected in.

So for all types of **3-dimensional **objects, the **volume** is calculated in **cubic** **meters** or sometimes in **cubic** **centimeters**, which all depends on the unit being used for the dimensions of the object in that circumstance.

For instance, we have a cube whose edges are 3m in length each; thus, the **volume** of the cube will be:

**Volume = length x width x height**

Or,

**Volume = Edge x Edge x Edge**

Since we have the edge distance and all the edges are of the same length, we will use the second formula:

V = Edge^{3}

V = 3^{3}

V = 9 m^{3}

Now let’s say we have a **cuboid** with different side lengths of 2cm, 4cm, and 6cm, and we are required to find the **volume** of this **cuboid**. Using the first formula we wrote:

**Volume = length x width x height**

V = 2cm x 4cm x 6cm

V = 48 cm^{3}

## Cubic Meter Conversion

Sometimes the **cubic** **meter** can be a huge value, so to narrow it down or reduce the size of it, we have to convert it into a relatable unit that is used widely, such as **cubic** **centimeters**, **cubic** **millimeters,** and so on. We will be discussing a few conversions of **cubic** **meters** to other sets of units.

### Cubic Meter To Cubic Centimeters

One **cubic** **meter** is a huge quantity when comparing it to **cubic** **centimeters;** since one **meter** is equal to 100 **centimeters**, one **cubic** **meter** is 100^{3} **cubic** **centimeters** or 1000000 cm^{3}.

#### How Is It Done?

Since we know that one **meter** is equivalent to 100 **centimeters**. If we take a cube on both sides, it will result in **cubic** units. Thus,

1 **cubic** **meter** = 100 x 100 x 100 **cubic** **centimeters**

1 m^{3} = 100^{3} cm^{3}

1 m^{3} = 1000000 cm^{3}

### Cubic Meter To Simple Meter

The formula to calculate **cubic** **meters** is as follows:

Cubic **meter** = **meter** x **meter** x **meter**

Thus if we divide the **volume** by any two sides, we can get the conversion from **cubic** **meter** to **meter**.

The following conversion table will help you understand better.

### Cubic Meter to Meter Square

When we are calculating the area of an object, we make use of a **meter** square as the unit, whereas **meter** cube is used as the unit for the **volume** of a **3-D** object.

When finding the area, we make use of the length and width only, whereas, in **volume**, three sides come into play, **length, width, and height**. Thus the conversion of a **meter** cube to a **meter** square can be carried out by dividing the **meter** cube by the width of the object.

We should know that a one-**meter** cube is precisely equal to a one-**meter** square.

The below table will demonstrate the other conversions.

### Cubic m to Cubic ft

One **meter** contains roughly about 3 **feet** of distance, precisely:

One **meter** = 3.280 **feet**.

So for **cubic** **meters**, we can multiply this 3 times to get the desired conversion:

One **cubic** **meter** = 1 **meter** x 1 **meter** x 1 **meter**

1 m^{3} = 3.280 ft x 3.280 ft x 3.280 ft

1 m^{3} = 35.31466 ft^{3}

Similarly, some other conversions are given below:

1 m^{3} = 35.31 ft^{3}

2 m^{3} = 70.63 ft^{3}

3 m^{3} = 105.94 ft^{3}

4 m^{3} = 141.26 ft^{3}

5 m^{3} = 176.57 ft^{3}

## Example of Converting Cubic Feet To Cubic Meters

Convert 0.08 Cubic Feet to Cubic Meters?

### Solution

Since we know:

1 **cubic** **meter** = 3.280 **feet**

1 **cubic** **feet** = 0.0283 **meters**

Therefore:

0.08 ft^{3} = 0.08 x 0.0283 m^{3}

0.08 ft^{3} = 0.002265 m^{3}

So, 0.08 **cubic** **feet** is equal roughly to 0.002265 **cubic** **meters**.

*All images are created using GeoGebra.*