The length of cold storage is double its breadth. Its height is 3 metr

1.	The length of cold storage is double its breadth. Its height is 3 metres. The area of its four walls (including doors) is 108 m2. Find its volume.
Answer» Given: Area = 108m², Height = 3m and Length of a cold storage is double its breadth So, Let breadth of a cold storage = x ∴ length of the cold storage = 2x Area of four walls = 108m² ∴ 2(l + b)× h = 108 ⇒ 2 (x + 2x)×3 = 108 ⇒ 6(3x) = 108 ⇒ x = 108/18 ⇒ x = 6 ∴ Breadth of a cold storage = 6m and Length of a cold storage = 2×6 = 12m Hence, Volume of the cold storage = l × b × h = 12 × 6 × 3 = 216m³

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

Answer»

Given: Area = 108m², Height = 3m

and Length of a cold storage is double its breadth

So, Let breadth of a cold storage = x

∴ length of the cold storage = 2x

Area of four walls = 108m²

∴ 2(l + b)× h = 108

⇒ 2 (x + 2x)×3 = 108

⇒ 6(3x) = 108

⇒ x = 108/18

⇒ x = 6

∴ Breadth of a cold storage = 6m

and Length of a cold storage = 2×6 = 12m

Hence, Volume of the cold storage = l × b × h

= 12 × 6 × 3

= 216m³