Find the length of the longest rod that can be placed in a room 12m long, 9m broad and 8m high.

Explanation

To find the length of the longest rod that can be placed in a room with dimensions 12m (length), 9m (breadth), and 8m (height), we will use the formula for the diagonal of a cuboid. The diagonal \(d\) of a cuboid can be calculated using the formula:

\[ d = \sqrt{l^2 + b^2 + h^2} \]

where \(l\) is the length, \(b\) is the breadth, and \(h\) is the height of the cuboid.

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