# Is the SI unit for volume, liter, equivalent to a meter cubed?

Sep 21, 2016

No. ${\text{1 L" = "0.001 m}}^{3}$.

#### Explanation:

$\text{1 L" = "1000 mL}$, and ${\text{1 mL" = "1 cm}}^{3}$, so

${\text{1 L" = "1000 cm}}^{3}$

Since $\text{1 m" = "100 cm}$,

${\text{1 L" = 1000 color(red)(cancel(color(black)("cm"^3))) × ("1 m"/(100 color(red)(cancel(color(black)("cm")))))^3 = "0.001 m}}^{3}$