Question

The length of the longest pole that can be placed in a room 12m long amd 9m wide and 8m high is

Answer 1

$\huge \boxed{ \mathfrak{Hello \: Friend }}$

$The \: length \: of \: the \: longest \: pole \: that \\ \: can \: be \: placed \: in \: a \: room \: 12m \: long \\ \: and \: 9m \: wide \: and \: 8m \: high \: is \: the \\ \: diagonal \: of \: the \: cuboidal \: room.$

$Diagonal of cuboid \\ \\ = > \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$

$= > \sqrt{ {12}^{2} + {9}^{2} + {8}^{2} }$

$= > \sqrt{144 + 81 + 64}$

$= > \sqrt{289}$

$= > \boxed{ \boxed{ \boxed {\boxed{13m}}}}$

$\mathbb{PLEASE \: MARK \: BRAINLIEST}$