Question

Find the length of the largest pole that can be placed in a hall 10m long and 10m wide and 5m high

Answer 1

Answer:

The longest pole that can be placed in a hall is the diagonal of the hall.

formula of diagonal of cuboid :

$\sqrt{l ^{2} + b ^{2} + h ^{2} }$

$\sqrt{10 {}^{2} + 10 {}^{2} + 5 {}^{2} }$

$\sqrt{100 + 100 + 25}$

$\sqrt{225}$

=15

Answer 2

Dimensions of the rectangular hall:

Length (l) = 10m

Breadth (b) = 10m

Height (h) = 5m

Length of the largest pole = diagonal of rect. hall

$= \sqrt{ {1}^{2} + {b}^{2} + {l}^{2} }$

$= \sqrt{( {10}^{2} + {10}^{2} + {5}^{2} }$

$= \sqrt{255}$

=15m