Question

An auditorium measures 35.0 m x 30.0 m x 5.0 m. The density of air is 1.20 kg/m^3. (a) What is the volume of the room in cubic feet? (b) What is the weight of air in the room in pounds?

Answer 1

Answer:

(a) 1852259 $ft^3$ (b) 489085.47 pound

Explanation:

We have given auditorium measures 35 m×30 m×5 m

We know that 1 meter = 3.28 feet

So the measure of auditorium = 35×3.28 feet ×30×3.28 feet× 5×3.28 feet

(a) So the volume of the auditorium $=35\times 3.28\times 30\times 3.28\times 5\times 3.28=185259.648ft^3$

Density is given as $d=1.20kg/m^3$  

(b) weight of air  = volume × density $=185259.648\times 1.2=222311.577kg$

We know that 1 kg = 2.20 pound

So 222311.577 kg =222311.577×2.20=489085.47 pound