The length of a cold storage is double its breadth. Its height is `3` m. The area of its four walls (including doors) is `108` `m^2`. Find its volume.

Explanation

Let the breadth of the cold storage be `x` metres
Then, its length = `2 x` metres and height = `3` metres
Area of the four walls of the cold storage
`= {2 (l + b) xx h)` sq units
`= {2 (2x + x) xx 3} m^(2) = (18x) m^(2)`
But, area of `4` walls `= 108 m^(2)` (given)
`:. 18x = 108 rArr x = (108)/(18) = 6`
So, breadth `= 6 m` and length `= 12 m`
Volume of the cold storage `= (l xx b xx h)` cubic units
`= (12 xx 6 xx 3) m^(3) = 216 m^(3)`