Question

the length breadth and height of a rectangular room are in the ratio 4:3:2 if the room contains 192 m³ of air find the area of floor of the room​

Answer 1

V = 192m^3

V = length*width*height

4x=length

3x = width

2x = height

4x*3x*2x=192

24x^3=192

x^3 = 192/24=8

x= 2 (because 2^3=8)

length =4x=8m

width = 3x=6m

height = 2x=4m

V=8*6*4=192

floor area :

length * width = 8 * 6 = 48m².