In a dimensional analysis problem they take 6.20L x (1ft^3/28.3L) x (12in^3/1ft^3) to get 378 in^3. Why do they express the 12in^3 as 12x12x12? To me it would be expressed as 6.20/28.3*12 to get 2.6289.... ? I may be missing an easy concept here?
In addition, This relates to volume in chemistry as is why I am asking this; How does one understand or express cubic units? For example, is 12cm^3 essentially 12x12x12? But.. A rectangle could be 3x4x1 which is 12cu. But then what is confusing do you then take the 12x12x12?