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The Greeks, they were highly interested in shapes and that kind of thing.
The 4th dimension is commonly regarded as time. So a 4D cube could be considered a 3D cube as it exists over time.
i think it is where 2d is flat 3d looks like you can touch it but you cant and 4d is where you can see it and physically touch it
No volume is for 3 dimensional shapes and area for two dimensions.
It is a linear equation in one unknown, d.