Final answer:
The question from a high school level Mathematics subject involves calculating the mass of air inside a house based on its volume. To calculate the volume, you multiply the square footage by the ceiling height, then use the density of air to find the mass, which is not a lift-able amount if converted to a solid mass like rock.
Step-by-step explanation:
The question pertains to the calculation of square footage in a residential property and the related concept of calculating the mass of air within a house, given its volume. When measuring square footage, it includes all the living spaces within the exterior walls and also counts stairwells in multi-level houses as part of the total square footage.
In a typical house with a floor area of about 150 m² and a floor-to-ceiling height of 2.5 m, you can calculate the volume of air by multiplying the floor area by the height, which would be 375 cubic meters. To determine the mass of the air, you would need to know the density of air, which is approximately 1.225 kg/m³ at sea level and at 15°C. Therefore, multiplying the volume by the density gives you approximately 459.375 kg of air. Considering that an average person cannot lift this much weight at once, as it is equivalent to the weight of several heavy items, one would not be able to lift this mass if it were transformed into bags of rocks.
Finally, when obtaining data on housing configurations or calculating heating requirements and materials needed for construction, mathematics plays an essential role in these processes, allowing for precise planning and execution.