Given:
100 persons can sleep in a room 25 m by 9.8 m. If each person required 12.25cu.m of air
To Find:
Find the height of the room.
Solution:
It is given that each person needs 12.25 m^3 of air then 100 persons would need a total of,
Total air volume=100*12.25
=1225m^3
Now we are given the length and breadth of the room and we need to find the height of the room for which the volume should be equal to 1225 m^3, so we will use the formula as,
V=l*b*h
where,
l= length
b= breadth
h= height
Now applying the values in the formula and finding the value of height we have,
[tex]V=l*b*h\\1225=25*9.8*h\\h=5m[/tex]
So the height should be 5m for the volume to become 1225m^3.
Hence, the height of the room is 5m.