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Length relates to the distance between two points. Area is the width of a flat object multiplied by its height. Volume is the width times the height times the length of a 3-dimensional object.
If the bar is a three dimensional object it will have some thickness. Then, assuming it is oblong in shape and knowing its length, width and thickness: Surface_area = 2 x (length x width + width x thickness + thickness x length)
A flat surface with an infinite length and width but no depth is called a plane.
A surface that has length and width.
A two-dimensional object is an object that can be drawn on a flat sheet of paper. It's called "two-dimensional" because it has 2 dimensions . . . length and width, but no height.