# Definition:Volume

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## Contents

## Definition

**Volume** is the measure of the extent of a body.

It has three dimensions and is specified in units of length cubed.

Hence the term **cube** as a general vague term for a quantity in three dimensions.

It is a scalar quantity which can be mapped directly to the real number line.

### Dimension

**Volume** is a dimension of measurement of physics.

The dimension of measurement of **volume** is:

- $L^3$

### Units

The SI unit of **volume** is the cubic metre:

- $\mathrm m^3$

The CGS unit of **volume** is the cubic centimetre:

- $\mathrm {cm}^3$

or, less formally:

- $\mathrm {cc}$

Thus:

- $1 \ \mathrm m^3 = 10^6 \ \mathrm {cm}^3 = 1 \,000 \,000 \ \mathrm {cc}$

## Sources

- 1951: B. Hague:
*An Introduction to Vector Analysis*(5th ed.) ... (previous) ... (next): Chapter $\text I$: Definitions. Elements of Vector Algebra: 1. Scalar and Vector Quantities - 1968: Murray R. Spiegel:
*Mathematical Handbook of Formulas and Tables*... (previous) ... (next): $\S 22$: Vectors and Scalars - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**volume**