Conventionally, yes.
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height is up & down, width is side to side
length is up and down width is side to side
You have to know that [ Volume = (length) x (width) x (height) ]. Then, you can divide each side of that equation by (length x height), and you wind up with Width = Volume/(length x height)
They represent different dimensions. Typically, height is up and down, width is side to side, and length is depth. Base is normally either for a 2 dimensional figure or the area of the bottom of a 3 dimensional one. But in many formulas, they are interchangeable.
Width is up and down. Length is left to right.