Question

Find the length of the longest pole that can be put in a room of dimensions 10 m by 10 m by 5 m

Answer 1

Given:
Length = 10m
Breadth = 10m
Height = 5m
Length of the longest rod that can be placed =
$\sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$
$\sqrt{ {10}^{2} + {10}^{2} + {5}^{2} }$
$\sqrt{100 + 100 + 25}$
$\sqrt{225}$
= 15 m