Question

100 persons can sleep in a room 25 m by 9.8 m. If each person required 12.25 cu. m of air, find
the height of the room.

Answer 1

Answer:

Height = 5m

Explanation is attached

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Answer 2

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,

$V=l*b*h\\1225=25*9.8*h\\h=5m$

So the height should be 5m for the volume to become 1225m^3.

Hence, the height of the room is 5m.