Question

A hall is of 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.

• A. 420
• B. 520
• C. 320
• D. 300

Answer 1

The correct option is C 320

Volume of the hall
$=\text{length}\times \text{breadth}\times \text{height}=16\times 14\times 5=1120m^3$

$\Rightarrow$ Volume of air(space) in the hall $=1120m^3$

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
$=\frac{\text{Total volume}}{\text{Volume required by each person}}$

$=\frac{1120}{3.5}$

$=320$

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