Q:

10m^3 of air weigh 13 kg.How much does the air weigh in a room 4.2m long, 3.5m wide, and 2.6m high?

Accepted Solution

A:
Answer:The weigh of air in the room having volume 38.22 m³ is 49.68 kg  Step-by-step explanation:Given as :Length of room = 4.2 mWidth of room = 3.5 mHeight of room = 2.6 mSo ,  volume of room = Length × Width × HeightOr,   volume of room = 4.2 m × 3.5 m × 2.6 m∴,     volume of room = 38.22 m³ Now, ∵  10 m³ of air weigh 13 kgso, 1 m³ of air weigh =  [tex]\frac{13}{10}[/tex] kg∴    38.22 m³ of air weigh = [tex]\frac{13}{10}[/tex] kg × 38.22 kgI.e 38.22 m³ of air weigh = 49.68 kgHence The weigh of air in the room having volume 38.22 m³ is 49.68 kg  Answer