14. Find the length of the longest rod that can be placed in a room 16m long, 12 m broad and
10 2/3 m high.
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Since the room is in cuboid shape
Length of largest rod = Diagonal of cuboid
=l2+b2+h2−−−−−−−−−√
=162+122+32232−−−−−−−−−−−−√
=256+144+10249−−−−−−−−−−−−−√
=2304+1296+10249−−−−−−−−−−√
=46249−−−−√=683=2223m
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