Question

Question 118

A rectangular examination hall having seats for 500 candidates has to be built so, as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25m, find the height and breadth of the hall.

Answer 1

Total number of seats in rectangular examination hall = 500
Length of the hall = 25 m
Cubic metres of air per candidate$=4m^3$
Square metres of floor area per candidate $=0.5m^2$
$\therefore$ Height of the hall $=\frac{Volumeofairpercandidate}{Squaremetreoffloorareaforonecandidate}=\frac{4}{0.5}=\frac{40}{5}=8m$

Total capacity of the hall $=No.ofcandidates\times aircapacitypercandidate$
$=500\times 4=2000m^3$

$\therefore$ Breadth of the hall $=\frac{2000}{25\times 8}=\frac{80}{8}=10m$