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The length, breadth and height of a room is 5m, 4m and 3m, respectively. Find the length of the largest bamboo that can be kept inside the room

  • A.5 m
  • B.60 m
  • C.7 m
  • D.5√2 m

Answer: D

The longest bamboo lies along the room's space diagonal.

\[ d = \sqrt{l^{2} + b^{2} + h^{2}} = \sqrt{25 + 16 + 9} = \sqrt{50} \]

\[ = 5\sqrt{2} \approx 7.07 \text{ m} \]

The 7 m option is close but not exact; the floor diagonal alone would be \( \sqrt{41} = 6.4 \) m.

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