Question

the ratio of length, breadth and height of a room is 4:3:1. If 12m^3 air is contained in a room, find the length , breadth and height of the room​

Answer 1

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

$4x\times 3x\times x=12\\\\12x^3=12\\\\x=1$

Height of the room = 1 m

Breadth of the room = 3x = 3 m

Length of the room = 4x = 4 m