Definition:Volume

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.

Symbol

The usual symbol used to denote the volume of a body is $V$.

Dimension

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:

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