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

1 Answer
Sep 21, 2016

Answer:

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#