Final answer:
The mol is a base unit for the amount of substance, m³ is a derived unit for volume, cm is a scaled base unit for length, and m s⁻² is a derived unit for acceleration.
Step-by-step explanation:
To identify whether the units mol, m³, cm, and m s⁻² are units of a base quantity or a derived quantity, let's look at the definitions from physics and the International System of Units (SI). The mol (or mole) is the SI unit for the amount of substance, which is one of the seven SI base units. The m³ (cubic meter) and cm (centimeter) are units of volume and length, respectively, with the cubic meter being a derived unit (since it is a measure of length cubed), and the centimeter being a scaled base unit of length using a metric prefix for convenience. m s⁻² (meters per second squared) is the unit for acceleration, which is a derived unit, as it is defined as a change in velocity (length/time) per unit of time.
Therefore:
- mol - Base quantity
- m³ - Derived quantity
- cm - Base quantity (scaled)
- m s⁻² - Derived quantity