# The length of the longest rod that can fit in a cubical vessel of side 10 cm, is

Question:

The length of the longest rod that can fit in a cubical vessel of side 10 cm, is
(a) 10 cm
(b) 20 cm

(c) $10 \sqrt{2} \mathrm{~cm}$

(d) $10 \sqrt{3} \mathrm{~cm}$

Solution:

(d) $10 \sqrt{3} \mathrm{~cm}$

Length of the longest rod = body diagonal of the vessel

$=\sqrt{3} a$

$=\sqrt{3} \times 10$

$=10 \sqrt{3} \mathrm{~cm}$