Question

The length of the longest rod that can be fitted in a cubical vessel of edge 10 cm long, is

Options

• 10 cm

• 10`sqrt(2)` cm

• 10`sqrt(3)` cm

• 20 cm 

Answer 1

The longest rod that can be fitted in the cubical vessel is its diagonal.

Side of the cube (l) = 10 cm 

So, the diagonal of the cube,

`= sqrt(3l)`

`= 10 sqrt(3 )`  cm 

So, the length of the longest rod that can be fitted in the cubical box is `10 sqrt(3 )` cm .