Find the maximum length of the rod that can be placed in a room of dimension 10 meters by 10 meters by 5 meters?

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Army Soldier Technical RO (HQ) - Danapur 2021 Official Paper
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  1. 15 meters
  2. 16.5 meters
  3. 17 meters
  4. 18 meters

Answer (Detailed Solution Below)

Option 1 : 15 meters
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Indian Army Agniveer Technical 2023 Memory Based Paper.
50 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

Length of room = 10 m

Breadth of room = 10 m

Height of room = 5 m

Concept used:

The length of the longest rod is the diagonal of room

Diagonal of a cuboid = √[(l2) + (b2) + (h2)]

Calculation:

Diagonal of cuboid = √[(10)2 + (10)2 + (5)2] m

⇒ √[100 + 100 + 25] m

⇒ √[225] m

⇒ 15 m

∴ The maximum length of rod that can be placed is 15 m

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