Question

The length of a hall is double its breadth. Its height is 3 m. The area of its four walls (including doors and windows) is 108 m², find its volume.

Answer 1

Let the breadth be x
and the length be 2x
Height = 3 m
Area of four walls = 108 m²

⇒ 2(l + b)h = 108

⇒ 2(2x + x)3 = 108

⇒ `6 xx 3x = 108`

⇒ `3x = 108/6`

⇒ `x = 18/3 = 6`m

∴ Breadth = x = 6 m

and length = 2x = 12 m

Hence, Volume = `l xx b xx h`

= `12 xx 6 xx 3`

= 216 m³