Question

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

Answer 1

No. `"1 L" = "0.001 m"^3`.

Explanation:

`"1 L" = "1000 mL"`, and `"1 mL" = "1 cm"^3`, so

`"1 L" = "1000 cm"^3`

Since `"1 m" = "100 cm"`,

`"1 L" = 1000 color(red)(cancel(color(black)("cm"^3))) × ("1 m"/(100 color(red)(cancel(color(black)("cm")))))^3 = "0.001 m"^3`