Question : What is the length of the longest rod that can be placed in a room of dimensions 12 m × 9 m × 8 m?
Option 1: 15 m
Option 2: 17 m
Option 3: 16 m
Option 4: 14 m
Answer (1)
21st Jan, 2024
Correct Answer: 17 m
Solution :
Given: Dimension of the room = 12 m × 9 m × 8 m
Length of the longest rod= $\sqrt{l^2+b^2+h^2}$ [where $l,b,h$ are length, breadth, and height respectively.]
= $\sqrt{12^2+9^2+8^2}$
= $\sqrt{144+81+64}$
= $\sqrt{289}=17$
Hence, the correct answer is 17 m.
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