Step-by-step explanation:
The ratio of length, breadth and height of a room is 4:3:1
Let length = 4x
Breadth = 3x
Height = x
Volume of air contained in the room, V = 12 m³
We need to find the length, breadth and height of the room. The room is in the shape of a cubiod. The volume of a cuboid is given by :
V = lbh
![4x* 3x* x=12\\\\12x^3=12\\\\x=1](https://img.qammunity.org/2021/formulas/computers-and-technology/high-school/u34zzi3oar0gdl6fst0xz5k0wfxepdlsk9.png)
Height of the room = 1 m
Breadth of the room = 3x = 3 m
Length of the room = 4x = 4 m