Answer :
Answer:
A) 24916 Lts
B) 34267 Lts
Explanation:
Considering that the air is a gas and this has the ability to expand throughout the whole room, the volume of air will be the same as the volume of the given room.
So, in case A the solution is as follows:
You can think of the volume of the room as the volume of a cube. Having said this, you will have that:
V = Lenght x Height x Width
V = 10.0 ft x 8.0 ft x 11.0 ft
Let's change the units so, afterwards, it becomes easier to obtain the answer in liters as it is asked:
1 mt = 3.28084 ft
Hence:
10 ft = 3.048 mts
8.0 ft = 2.438 mts
11.0 ft = 3.353 mts
Going back to the formula we have:
V = 3.048 mts x 2.438 mts x 3.353 mts = 24.916 mts3
There we have the answer in mts3, but we are asked to obtain the answer in liters so we have to convert it:
Knowing that 1 m3 = 1000 lts
Then: 24.916 mts3 = 24916.22 lts
Now the situation stated in B is the same:
V = 11.0 ft x 10.0 ft x 11.0 ft
Let's change the units according to the conversion described above:
11 ft = 3.353 mts
10.0 ft = 3.048 mts
11.0 ft = 3.353 mts
V = 3.353 mts x 3.048 mts x 3.353 mts = 34.267 mts3
Now, we change the value in mts3 to liters as we did before:
34.267 mts3 = 34267 lts