Question

Find the length of the longest rod that can be placed in a room of 18 m long , 12 m broad and 13.5 m high

Answer 1

Answer:

25.5 m

Step-by-step explanation:

Given,

• Length of the room = 18 m
• Breadth of the room = 12 m
• Height of the room = 13.5 m

The length of the longest rod = Length of the diagonal of the room

∴ (Diagonal)²  = (Length)² + (Breadth)² +(Height)²

⇒        "           = (18)² + (12)² + (13.5)²

⇒        "           = 324 + 144 + 182.25

⇒        "           = 650.25

⇒ ∴ Diagonal = √650.25

⇒        "           = 25.5 m        ←ANSWER

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