Question

What is the length of the largest rod that can be put in a box of inner dimensions 30cm, 24 cm and 18 cm?

Answer 1

Possible length of largest rod

$\sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$
$\sqrt{ {30}^{2} + {24}^{2} + {18}^{2} }$
$\sqrt{900 + 576 + 324}$
$\sqrt{2 \times 900}$
$30 \sqrt{2} cm$