Final answer:
The size of areas in a dwelling is based on measurements of area and volume, calculated through length by width for area, and area by height for volume. Conversion factors and dimensional analysis allow conversion between different units of measurement for these dimensions.
Step-by-step explanation:
The type of measurements that the amount of living and other areas in a dwelling are based on are area and volume. Area is a measure of the extent of a two-dimensional surface or shape within boundaries, such as the floor space in a room, while volume is the measure of space that a three-dimensional object occupies.
When we want to measure the size of a dwelling, we typically look at its length, width, and height. For example, the area of a room can be calculated by multiplying its length by its width. If we are interested in the volume of a room, we would multiply the area by the room's height. These measurements help us to understand the size and space within a dwelling.
Conversion factors can be used to convert between different units of measurement, such as feet to meters or square feet to square meters. Dimensional analysis is a technique where conversion factors are utilized to ensure that unwanted units are canceled out, resulting in the desired unit of measure. For example, to convert square feet to square meters, we would use the conversion factor that 1 square foot is approximately 0.092903 square meters.