An auditorium measures 35.0 m multiplied by 15.0 m multiplied by 5.0 m. The density of air is 1.20 kg/m3. What is the weight of air in the room in pounds?

i got 4.25 x 10^5 and the page says that
"Your response differs from the correct answer by orders of magnitude. lb"
So what is really wrong with my answer?

you didn't convert the kg into lb.

i had the same problem
the answer is 16170 lb

then do u write it as 1.62E4, but i remember that i did convert it to lb

To find the weight of air in the room, we need to calculate the volume of the room and then use the density of air to find the mass. Finally, we can convert the mass to pounds.

Let's break down the problem step by step:

1. Find the volume of the room:
The auditorium's dimensions are given as 35.0 m x 15.0 m x 5.0 m. To find the volume, you multiply these dimensions together:
Volume = 35.0 m x 15.0 m x 5.0 m = 2625.0 m³

2. Find the mass of the air:
Given that the density of air is 1.20 kg/m³, we can use this information to find the mass of air in the room:
Mass = Density x Volume
Mass = 1.20 kg/m³ x 2625.0 m³ = 3150 kg

3. Convert mass to pounds:
Since the question asks for the weight in pounds, we need to convert the mass in kilograms to pounds. The conversion factor is 1 kg = 2.20462 pounds:
Weight = Mass x Conversion Factor
Weight = 3150 kg x 2.20462 pounds/kg ≈ 6944 pounds

Therefore, the weight of the air in the room is approximately 6944 pounds.

Based on your calculation of 4.25 x 10^5, it seems you have not converted the mass from kilograms to pounds correctly. Please double-check your conversion factor and ensure you've used the correct value of 2.20462 pounds/kg.