Question

The dimensions of a hall are length 16 m, breadth 14 m, and height 5 m. Find the number of people that can be accommodated in the hall, assuming 3.5 m${}^3$ of space is required for each person.

Answer 1

Volume of the hall
$=\text{length}\times \text{breadth}\times \text{height}=16\times 14\times 5=1,120m^3$

$\Rightarrow$ Volume of air (space) in the hall $=1,120m^3$

Also, given that 3.5 m³ of space is required for each person.

$\therefore$ Total number of people that can be accommodated in the hall
$=\frac{\text{Total volume}}{\text{Volume required by each person}}$

$=\frac{1,120}{3.5}$

$=320$

Therefore, the number of people that can be accommodated in hall is 320.