Volume or intensity of a sound wave is measured by the size of the and reported in decibels.

Amplitude

Explanation:

The intensity (or volume) of a sound wave is proportional to the square of the sound wave:

where A is the amplitude of the wave.

The amplitude of a sound wave is measured as the maximum displacement of the wave with respect to its equilibrium position.

The intensity is measured in Decibels (dB), which is related to the logarithmic ratio between the power of two different sounds, i.e. the difference in decibels between two sounds is given by

where P1 and P2 are the power of the two sounds.

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