Q9 of 67 Page 187

Find the length of the longest rod that can be placed in a room 10 m long, 8 m wide and 6 m high.

The longest edge of a cuboid is the body diagonal



So the length of longest rod will be same as the length of body diagonal


Length of room = l = 10 m


Breadth of room = b = 8 m


Height of room = h = 6 m


Length of body diagonal =


⇒ length of rod =


=


=


Therefore, length of longest rod = 10√2 m


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