A sound wave is a mechanical wave
Mechanical waves require a medium in order to transport their energy from one location to another. They cannot propagate in vacuum. Mechanical waves can be longitudinal or transverse.
A sound wave is a longitudinal wave
In a longitudinal wave the oscillating disturbance is parallel to the direction of travel. Sound waves are always longitudinal waves: The air molecules vibrate in the same direction as the sound wave travels and form a series of compressions (high pressure) and rarefactions (low pressure), where the molecules are squeezed together and pulled apart respectively.