Question 343778
No, a true equation must also be dimensionally correct but some dimensionally correct equations are not true.
As an example,
The area of a square is equal to the perimeter of the square multiplied by the length of the side of the square.
{{{A=(s+s+s+s)*s=4s^2}}}
Dimensionally, the units are correct (Area=Length^2)
But the equation is not true.
The area of a square is actually {{{A=s^2}}}.
True and dimensionally correct.