Question

find the length of a longest stick that can be kept inside a rectangular room of dimensions 3m*12m*4m

Answer 1

Given length = 3m, breadth = 12m, height=4m.

Length of the longest stick = root (3^2 + 12^2 + 4^2)

                                              = root(9 + 144 + 16)

                                              = root 169

                                              = 13m.

Answer 2

hi friend
here's your answer looking for

we can find the longest state that can be kept in the rectangular room by the given formula.

the longest diagonal of the cuboid is
$\sqrt{ {b}^{2} + {l}^{2} + {h}^{2} }$
now here ,

b= 3m

l= 12m

h= 4m

so,

the longest diagonal of the cuboid =

$\sqrt{ {b}^{2} + {l}^{2} + {h}^{2} } \\ = \sqrt{ {3}^{2} + {12}^{2} + {4}^{2} } \\ = \sqrt{9 + 144 + 16 } \\ = \sqrt{169 } \\ = 13m$
so, this is your answer,

hope you are satisfied with my answer