Find the length of the longest rod that can be placed in a hall of 10

1.	Find the length of the longest rod that can be placed in a hall of 10 m length, 6 m breadth and 4 m height.1. 2√19 m2. 2√ 38m3. 4√38 m4. 3√38 m
Answer» Correct Answer - Option 2 : 2√ 38m Given: Length of the hall = 10 m The breadth of the hall = 6 m Height of the hall = 4 m Concept used: The longest rod that can be fit into a cuboidal hall = diagonal of the cuboid Diagonal of the cuboid = √(l² + b² + h²) Calculation: Longest rod that can be placed in the hall = √(10² + 6² + 4²) = √(100 + 36 + 16) The longest rod that can be placed in the hall = 2√38 m ∴ The longest rod that can be placed in the hall 2√38 m.

Find the length of the longest rod that can be placed in a hall of 10 m length, 6 m breadth and 4 m height.1. 2√19 m2. 2√ 38m3. 4√38 m4. 3√38 m

Answer» Correct Answer - Option 2 : 2√ 38m

Given:

Length of the hall = 10 m

The breadth of the hall = 6 m

Height of the hall = 4 m

Concept used:

The longest rod that can be fit into a cuboidal hall = diagonal of the cuboid

Diagonal of the cuboid = √(l² + b² + h²)

Calculation:

Longest rod that can be placed in the hall = √(10² + 6² + 4²) = √(100 + 36 + 16)

The longest rod that can be placed in the hall = 2√38 m

∴ The longest rod that can be placed in the hall 2√38 m.

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