How are loudness and amplitude related?

Hint:We can denote measurement of waves as amplitude.The loudness is related to how softness of the sound we can hear.

Complete step by step answer:
Sound waves are transverse. They have so many properties, like loudness, amplitude, etc. The quantity loudness is dependent on the sound pressure. Loudness is a measure of how much can afford the auditory sensory organs. Which we can measure with a scale called loudness. Amplitude the maximum displacement or distance moved by a point on a vibrating body on a wave measured from its equilibrium position.The louder of a sound is also determined by the sensitivity of the ear. The human ear is more sensitive to some frequencies than to others. Louder sound means larger production of vibrations.
In mathematics Loudness is proportional to square of amplitude of sound waves.

Note:Loudness is measured in decibel scale. The vacuum cleaner is more than ten thousand louder than a small whisper.