If two quantities have same dimensions, do they represent same physical content?

The physical quantities not having same dimensions are:

Pressure and stress having same unit (and dimension) although they are not a same physical quantity, why ?

Why do we have different units for the same physical quantity ?

Which of the following have same dimension ?

What is 1AU ? It represent which physical quantity ?

Consider following statement :- (A) any physical quantity may have more than one unit. (B) Any physical quantity have only one dimensional formula (C ) More than one physical quantities may have same dimension. (D) We can add & subtract only those expression having same dimension. Number of correct statements is :-

The unit of torque and work are same but they are not a same physical quantity? Why?

Wb//Omega unit is representing which physical quantity ?

If A and B are two physical quantities having different dimensions then which of the following can denote a new physical quantity?