Question

establish the relationship between speed of sound, its wavelength and frequency? help!!!

Answer 1

speed of sound = V
wavelength = λ
frequency = v

the time period of a wave is represented by = T = 1/v
In time T, a distance of wave length v is covered 

so the speed of sound = V = λ/T
or V = λv

Answer 2

The sound speed is the speed at which a sound wave moves across a medium. It is measured in "meters per second" (m/s).

Wavelength is defined as "distance between" two troughs or crests in a sound wave, it is measured in meters (m).

Frequency is the rate at which particles of a medium oscillate per second, as a sound wave passes through them, it is measured in hertz (Hz).

If, wavelength $(\lambda)$ is the distance covered by a sound wave in one cycle

So, the velocity of sound would be:

$Speed =\frac{\text {Distance}}{\text {Time}}$

$Speed =\frac{\lambda}{T}$

However, frequency is "inversely proportional" to time; i.e., $f=\frac{1}{T}$

Therefore,

$\Rightarrow \lambda f$