Why is a cubic centimeter (${\mathrm{cm}}^3$) considered an example of a derived unit?

• A. Because it is obtained by combining the base unit centimeter three times through multiplication to represent volume.
• B. Because it is a fundamental unit defined by the International System of Units ($\mathrm{SI}$).
• C. Because it is used only in chemistry and not in physics.
• D. Because it measures length in three different directions.

Answer: (A)

Verified step by step guidance

1. Understand the difference between base units and derived units in the International System of Units (SI). Base units are fundamental units that measure a single physical quantity, such as length, mass, or time.
2. Recognize that the centimeter (cm) is a base unit of length, representing a one-dimensional measurement.
3. Know that volume is a three-dimensional quantity, which means it involves length measured in three directions (length, width, and height).
4. Realize that to measure volume in cubic centimeters, you multiply the length unit by itself three times: \(\text{cm} \times \text{cm} \times \text{cm} = \text{cm}^3\).
5. Conclude that since \(\text{cm}^3\) is obtained by combining the base unit centimeter through multiplication, it is a derived unit representing volume.