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dimensions of room length 30 m , breadth 24 m and height 12 m height . The diagonal of the base = = 38.418 m Longest diagonal = = 42 m Therefore the longest iron rod that can be placed = 42 m

Given, dimensions are length =30m breadth = 24 m height = 12√2 m in the diagram green line = 38.4 m ( by pythagoras theorem , green line = √(24² + 30²) =√(576 + 900) = √1476 = 38.4 m ) now, red line = (12√2)² + (38.4)² =√( 288 + 1474.56) = √1762.56 = 41.98 m therefore, the length of longest iron rod that can be placed in the room = 42 m (nearly 41.98 m)