The longest rod that can be placed inside a cubical box of edge $10$ cm has length:

The longest rod that can be placed inside a cubical box of edge $10$ cm has length:
  1. $10$ cm
  2. $10\sqrt{2}$ cm
  3. $10\sqrt{3}$ cm
  4. $30$ cm

Solution

Longest rod = space diagonal of the cube $= a\sqrt{3} = 10\sqrt{3}$ cm.

Asked in: IMO

Practice more MENSURATION questions on Aicharya