# When volume is consider as fundamenta quantity instead of length what difficulties occur [closed]

When volume is consider as fundamental quantity instead of length what difficulties occur?

## closed as unclear what you're asking by Aaron Stevens, Kyle Kanos, JMac, GiorgioP, rob♦Apr 16 at 21:30

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• What does it mean to be a "fundamental quantity"? – probably_someone Apr 16 at 15:20
• This definitely needs more context – Aaron Stevens Apr 16 at 15:22
• Fundamental means based quantity – Sardar Mohsin Manzoor Apr 16 at 15:29
• So are you asking what would happen if there was an SI base unit of volume instead of length? – probably_someone Apr 16 at 15:31
• Assuming you know how to measure angles, you can go from volumes to lengths and vice versa. – jacob1729 Apr 16 at 16:07

Do you mean volume in the "usual" sense, of dimensions $$\text{length}^3$$? Sure, let's do it, let's move to the volume being the "fundamental" quantity and give it units of $$[\text{SMM}]$$. How do you define a length element then? the units would have to be $$[\text{SMM}]^{1/3}$$, and an area would have to have units of $$[\text{SMM}]^{2/3}$$ not very practical for everyday life...
Also, the units for the "fundamental" quantity length in , e.g. SI units, is determined by the distance light travels in $$\sim \frac{1}{3\times10^8}$$ seconds. You will have to come up with a way to define your "fundamental" volume in your base/using other SI units which is easier than the above...