Question

The length of a cold storage is double its breadth. Its height is 3m. The area of its four walls including doors is 108m². Find its volume.

Answer 1

Given that:
The length of a cold storage  is double its breadth
Height = 3m
Area of its four walls = 108m² ...........................(1)
Let the Breadth (b) of cold storage = x m
Thus, the length (l) of cold storage = 2x m
L.S.A of cold storage
= 2 x h x (l + b)
108 = 2 x 3 x (2x + x)      ...[From (1)]
= 6 x 3x
18x = 108

x = `(108)/(18)`
x = 6
∴ Length (l) = 2 x 6 = 12m
Breadth (b) = 1 x 6 = 6m
Thus,
Volume of cold storage
= l x b x h
= 12 x 6 x 3
= 216m³.