Often these are three linear dimensions. Normally these are the dimensions in mutually perpendicular directions, but they need not be: they can be in any three directions which are not coplanar. Depending on the context, the linear dimensions are called:Length;
Breadth or width; and
Height or depth.
Also, the answer may comprise measure one distance and two angles: as might be done to locate an object in astronomy.
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They can be measured by their linear measures in three orthogonal directions.
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Volume is measured in cubed units because volume is a three-dimensional measurement that involves length, width, and height. When measuring volume, we are essentially measuring the amount of space an object occupies in three dimensions. Cubing the units ensures that the measurement reflects this three-dimensional aspect, as opposed to just a single linear measurement.
because volume is a function of all three dimensions, length, width and Height. X, Y and Z
It has three dimensions.