Question

what is the base unit of volume when using the metric system?

a cubic meter or m³

b milliliter or ml

c liter or l

d cubic centimeter or cm³

Explanation:

In the metric system, the base unit of length is the meter ($m$). Volume is a derived quantity related to length (since volume of a cube is length × width × height). For a cube with side length 1 meter, the volume is $1\ m\times1\ m\times1\ m = 1\ m^3$. The liter ($L$) is a commonly used unit for volume (especially for liquids), but it is a derived unit equivalent to $1\ dm^3$ (cubic decimeter), not the base unit. The milliliter ($mL$) is a smaller unit ($1\ mL = 1\ cm^3$) and the cubic centimeter ($cm^3$) is also a derived unit. So the base unit of volume in the metric system is the cubic meter ($m^3$).

Answer:

a. cubic meter or $m^3$