The length of the longest rod that can be fitted in a cubical room of edge length 4 cm is:
A
8.66 m
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B
5.196 m
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C
6.928 m
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D
7.264 m
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Solution
The correct option is C6.928 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√3=4×1.732m=6.928m.∵ Central diagonal of a cube =√3×a