Question

the length breadth and height of a class room are in ratio 3:2:1. A student requires 3600cm^2 of floor area to sit. If a maximum of 150 students can sit in a room find the dimensions of room​

Answer 1

Answer:

let the length = 3x

breadth = 2x

height = x

Area require to sit = 3600

150 students require = 3600 × 150

L × B = 540000

3x × 2x = 540000

6x {}^{2} = 5400006x

2

=540000

x {}^{2} = 540000 \div 6 = 90000x

2

=540000÷6=90000

x = \sqrt{90000} = 300x=

90000

=300

Length = 3x = 3×300 = 900cm

Breadth = 2x = 2×300 = 600cm

Height = x = 300cm

Thanks