Question

If in a room of dimensions 20 m × 20 m × 10 m a rod is put, then find the length of the longest rod possible that can be put inside.  
1. 25 m
2. 45 m
3. 30 m
4. 40 m

Answer 1

Correct Answer - Option 3 : 30 m

Given:

The dimensions of a room are 20 m × 20 m × 10 m.

Formula used:

Length of the longest rod in a room = √(a² + b² + c²)

Where a, b, c are sides of the room.

Calculations:

Length of the longest rod in a room = √(a2 + b2 + c2)

⇒ √(202 + 202 + 102) = 30 m

∴ The length of the longest rod in the room is 30 m.