Answer:
Length, width and heights are measures of distance and in normal circumstances are invariant (ignoring Lorentz contraction which kick in at speeds near that of light). The difference between the three is mostly a matter of convenience. Weight is the effect of gravitational force on a mass and varies as the force of gravity changes. Even on the surface of the earth it can vary by 5%. On the moon the weight of an object would be a sixth of what it was on the earth. In space, objects can become weightless.