Question

The length of the longest rod that can be fitted in a cubical room of edge length 4 cm is:

• A. 8.66 m
• B. 5.196 m
• C. 6.928 m
• D. 7.264 m

Answer 1

The correct option is C 6.928 m

Edge length of the cubical room, a = 4cm
The length of the longest rod that can be fit in a cubical room is the central diagonal of the cubical room
$=a\sqrt{3}=4\times 1.732m=6.928m.$ $\because$ Central diagonal of a cube $=\sqrt{3}\times a$