What SI units are used for measuring the following quanti-ties? For derived units, express your answers in terms of the six fundamental units. (d) Volume

Verified step by step guidance

1. Identify the SI unit for volume, which is the cubic meter (m^3).
2. Understand that volume is a derived unit in the SI system.
3. Recall that the fundamental SI unit for length is the meter (m).
4. Express volume in terms of the fundamental unit of length: Volume = length \times width \times height.
5. Conclude that the derived SI unit for volume is expressed as m \times m \times m = m^3.

Key Concepts

SI Units

The International System of Units (SI) is a standardized system of measurement used globally in science and engineering. It consists of seven base units, including the meter (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity). Derived units are formed from these base units to measure other quantities.

Volume

Volume is a measure of the three-dimensional space occupied by a substance or object. In the SI system, the standard unit for volume is the cubic meter (m³). Other common derived units for volume include liters (L), where 1 L is equivalent to 0.001 m³, and milliliters (mL), where 1 mL is equivalent to 0.000001 m³.

Derived Units

Derived units are measurements that are calculated from the base units of the SI system. They are formed by combining base units through multiplication or division. For example, volume can be expressed as a derived unit in cubic meters (m³), which is calculated as length (m) × width (m) × height (m). Understanding how to derive these units is essential for accurately measuring and converting quantities in scientific contexts.