The length, breadth and height of a room are in the ratio of 3 ∶ 2 ∶ 1. If its volume be 1296 m3, find its breadth. 

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  1. 12 m
  2. 16 m
  3. 18 m
  4. 24 m

Answer (Detailed Solution Below)

Option 1 : 12 m
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Detailed Solution

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Given:

The length, breadth, and height of a room are in the ratio 3:2:1.

Volume of the room = 1296 m3.

Formula used:

Volume = length × breadth × height

Let the length be 3x, breadth be 2x, and height be x.

Calculations:

Volume = 3x × 2x × x = 6x3

⇒ 6x3 = 1296

⇒ x3 = 216

⇒ x = 6

Therefore, breadth = 2x = 2 × 6 = 12 m

∴ The correct answer is option (1).

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