Area is not measured in units cubed so this question makes no sense.
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The length, width, or height of a solid figure is measured in units of length. The area of the figure's outside surfaces is measured in squared units of length. The volume of space filled by the figure is measured in cubed units of length. The mass of the figure is measured in units of mass. The weight of the object is measured in units of force. The age of the figure is measured in units of time. etc.
Yes it is measured in cubic units
None. Area cannot be measured in length units - only in squares of such units.
The volume of cylinders are measured in cubic units.
Length squared