Final answer:
The weight of the air inside a building with a volume of 3 x 10¶ m³ is calculated by multiplying the volume by the weight of air per cubic meter (1.3 kg). The result is approximately 3.9 x 10¶ kg.
Step-by-step explanation:
The question asks for the weight of air inside a building given the volume of the air in the building and the weight of air per cubic meter. To find the total weight of air, we multiply the volume of air inside the building by the weight of air per cubic meter.
The weight of 1m³ of air is approximately 1.3×10³ g, which is equivalent to 1.3 kg since 1 kg = 1000 g. If the volume of air inside the building is 3×10¶ m³, we calculate the total weight as follows:
- Convert the weight of air from grams to kilograms: 1.3×10³ g = 1.3 kg.
- Multiply the weight of 1m³ of air by the total volume of air in the building: 1.3 kg/m³ × 3×10¶ m³.
- Perform the multiplication: 1.3 kg/m³ × 3×10¶ m³ = 3.9×10¶ kg.
Therefore, the air inside the building weighs approximately 3.9×10¶ kg.