Question

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

• A. $10cm$
• B. $10\sqrt{2}cm$
• C. $10\sqrt{3}cm$
• D. $20cm$

Answer 1

The correct option is C $10\sqrt{3}cm$

The longest stick that can be fit is the length of the diagonal of the cubical vessel.

Therefore, length of diagonal $=\sqrt{{\left(10\right)}^2+{\left(10\right)}^2+{\left(10\right)}^2}$ $=\sqrt{3(10{)}^2}=10\sqrt{3}cm$