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Find the length of the longest pole that can be placed in a room which is 24 m long, 16 m broad and 18 m high.

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Find the length of the longest pole that can be placed in a room which is 24 m long, 16 m broad and 18 m high.
  • A27 m
  • B19 m
  • C34 m
  • D23 m
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CCommunity
Given that,

Dimensions of room are 24 m long, 16 m broad and 18 m high.

The longest rod that can be placed in a room has length equal to the diagonal of the room.

We know that diagonal of cuboid = √(length2 + breadth2 + height2)

Length of the longest pole = √(242 + 162 + 182) = √(576 + 256 + 324)= √1156 = 34 m