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Loudness is measured in decibels (dB), which quantifies the intensity of sound waves. The higher the decibel level, the louder the sound.
Loudness depends on the amplitude. square of amplitude is proportional to the loudness. Pitch is decided by the frequency. One can sing at higher pitch but at lower voice.
Loudness. Volume.
The unit of loudness is called decibel (dB).
Units used to measure loudness are Sone (loudness N) and Phon (loudness level L). 40 Phons = 1 Sone. Scroll down to related links and look at "Loudness - Wikipedia" and "Sound level change and the change of the respective factor of volume and loudness"