No, volume is measured in cubic units, area is measured in square units.
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Volume of a solid that is measured by cubic units
Volume
soil
Gold nuggets (Or anything that exists, for that matter) are in the third dimension. They have length, width, and height. For two dimensional objects, the area is expressed in square units, but because the gold nugget is in the third dimension, it's volume is expressed in cubic units.
It is: 144*pi square units.