Question

find the length of the longest rod that can be placed on a room of 18 m long 12m broad and 13.5m high

Answer 1

Solutions :-

Given :
Length = l = 18 m
Breadth = b = 12 m
Height = h = 13.5 m

Find the length of the longest rod :-

Diagonal of cuboid$= \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$
$= \sqrt{ {(18)}^{2} + {(12)}^{2} + {(13.5)}^{2} } \\ \\ = \sqrt{324 + 144 + 182.25} \\ \\= \sqrt{650.25} = 25.5$

Hence,
The length of the longest rod = 25.5 m

Answer 2

length=18m
breadth=12m
height=13.5m

Longest rod =diagonal of room
diagonal→√(l²+b²+h²)
→√(18²+12²+13.5²)
→√(324+144+182.25)
→√650.25
→25.5 m


Longest rod→25.5m