Question

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

Answer 1

The largest pole that can be placed in the hole is its diagonal.

The length of the diagonal can be found out using the formula :-
$\sqrt{l { \: }^{2} + b {}^{2} + h {}^{2} }$
So. Putting the values:-

$\sqrt{10 { }^{2} + 10 {}^{2} + 5 {}^{2} }$
$\sqrt{100 + 100 + 25}$
$\sqrt{225}$
$15 \: m$
So the length of the largest pole is 15 m