Question

find the length of longest rod that can fit in a cubical room having side 10m

Answer 1

The longest rod that can fit is from one vertex to another vertex which is diagonally opposite to it.
Thus, its length will be
√(10²+10²+10²)= 10√3

Answer 2

since, diagonal of cuboid is
$\sqrt{3 {a}^{2} }$
where a is the side of the cuboid

so, the longest rod can be fit in a cubical room is given by

$10 \sqrt{3} = 10 \times 1.732 = 17.32m$
is the required ans
please mark as brainliest