A unit is a generic term for a measurement of some kind. Feet, meters, liters, all are units. A square unit is a measure of area, typically generated by multiplying the length times the width.
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24cm x 59cm = 1416 square centimetres
24 ft x 59 ft = 1416 square feet
24 units x 59 units = 1416 square units
Therefore units can be used where the measurement (cm, inches, feet, etc) is not stated in a question.
A square foot is a unit of area. A yard is a unit of distance. The two units are therefore incompatible. If you mean a square yards, then 9 squared feet are in one squared yard.
A cubic unit is essentially a three-dimensional unit used to describe volume, just like a square unit is a two-dimensional unit that describes area.
Square unit
the square unit of....!
A square inch is a unit of area.