A cubic meter, denoted as m3 or meter cube, is a standard unit of volume in the International System of Units (SI). It is defined as the volume of a cube with sides that are 1 meter in length. As such, it is equivalent to 1000 liters. The formula for calculating the volume of a cube is as simple as multiplying the length, breadth, and width of the cube.

V = length x breadth x width

V = 1m x 1m x 1m

V = 1 m3 or 1 cubic meter

How to Calculate Cubic Meter Volume

The cubic meter (m³) is the standard unit used to measure volume in the metric system. It tells us how much space something takes up. This unit is mostly used for measuring the volume of solid objects.

Maths Notes Free PDFs

All 3D shapes like cubes, boxes (cuboids), and tanks have volume, and if their dimensions (length, width, height) are given in meters, their volume is measured in cubic meters.

For example, if you have a box that’s 1 meter long, 1 meter wide, and 1 meter high, its volume is 1 cubic meter. In simple words, cubic meters show how much space an object fills.

Examples

Example 1: Suppose a cube has edges that are 4 m in length. The volume of the cube would be:

Volume of cube = Edge3 = 43 = 64 meter cube

Example 2: If a cuboid has a length of 3m, a breadth of 4m, and a height of 5m, the volume of the cuboid is:

V = Length x Breadth x Height

V = 3m x 4m x 5m

V = 60 m3

Cubic meters can be converted to other units of measurement, such as cubic centimeters, cubic feet, cubic yards, and so on. Let's look at how to convert cubic meters to these other units.

For more information, check out: Conversion of Units

Cubic Meter to Cubic Centimeter

1 Cubic Meter = 1,000,000 Cubic Centimeters

Explanation:

We know that:
1 meter = 100 centimeters

Since we are dealing with volume (which is three-dimensional), we need to cube the value:

So,
1 cubic meter = 100 cm × 100 cm × 100 cm
= 1,000,000 cubic centimeters (cm³)

That means 1 m³ is the same as 1,000,000 cm³.

Cubic Meter to Square Meter

A cubic meter is a unit of volume, while a square meter is a unit of area. To convert cubic meters to square meters, you need to divide the volume by the thickness. In this case, one cubic meter equals one square meter.

Here's a table that presents other conversions:

Converting Cubic Meter to Meter

To convert cubic meters to meters, you need to divide the volume by the width and height in meters. Here's a conversion table for your reference:

Converting Cubic Meter to Cubic Feet

We know that:
1 meter = 3.2808399 feet

So, when measuring volume (length × width × height), we cube this value:

1 m³ = 3.2808399 × 3.2808399 × 3.2808399 = 35.3147 ft³ (approx)

Quick Conversion Table:

• 1 m³ = 35.31 ft³
• 2 m³ = 70.63 ft³
• 3 m³ = 105.94 ft³
• 4 m³ = 141.26 ft³
• 5 m³ = 176.57 ft³

Cubic Meter to Cubic Yards

One cubic meter is equivalent to 1.31 cubic yards. Here's a conversion table for your reference:

Practice Problems

• Convert 7 cubic meters to cubic yards.
• What is the equivalent of 30 cubic meters in cubic feet?
• Convert 20 cubic meters into cubic centimeters.
• Calculate the volume of a cube with edge lengths of 7 cm in cubic meters.

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