if they have same units they must have same dimensions .
but thy can have different units even if they have same dimensions
i hope it helps :
To check a formula for dimensional consistency, analyze the units on both sides of the equation. Ensure that the units on each side match up in terms of length, mass, time, and other relevant dimensions. If the units on both sides are equivalent, the formula is dimensionally consistent.
The dimensions work out as 7 units and 15 units
Metres to measure the dimensions and then express it in terms of square metres.
Angular velocity is a measure of how quickly an object rotates around a fixed point. Its dimensions are typically expressed in units of radians per second (rad/s) or degrees per second (/s).
The dimensions can be 4 units by 4 units
The dimensions are: width of 7 units and length of 35 units!
You can find the dimensions of derived units in the Wikipedia article on "Planck units".
The dimensions of the rectangle are 2 units and 15 units
What are the dimensions of a rectangle that has a perimeter of 56 units and an area of 96 square units
The units of q in the given equation are not specified.
80 cubic unitsUsing the formula bh/3, the base is found to be 30 square units and the height is given as 8 square units. Plugged into the equation, 30*8/3 equals 80 cubic units.
The units of energy in the equation Emc2 are joules (J).