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Brums [2.3K]
3 years ago
6

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 f

eet? (b) What is the weight of air in the room in pounds?
Physics
1 answer:
Ksenya-84 [330]3 years ago
5 0

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

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