Identify each of the following as measurements of length, area, volume, mass, density, time, or temperature: (a) 25 ps, (b) 374.2 mg, (c) 77 K, (d) 100,000 km2, (e) 1.06 mm, (f) 16 nm2, (g) -78 °C, (h) 2.56 g>cm3, (i) 28 cm3.

Key Concepts

Units of Measurement

Units of measurement are standardized quantities used to express physical properties. Common units include meters for length, grams for mass, and liters for volume. Understanding these units is essential for categorizing measurements correctly, as each unit corresponds to a specific physical dimension.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one type of measurement into another by using conversion factors. It helps in identifying the dimensions of a quantity, allowing for the classification of measurements into categories such as length, area, or volume. This method is crucial for ensuring that measurements are interpreted correctly.

Physical Properties

Physical properties are characteristics of substances that can be observed or measured without changing the substance's identity. These include length, mass, volume, density, temperature, and time. Recognizing these properties is vital for accurately identifying and categorizing different measurements in scientific contexts.