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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
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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 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
=a3=4×1.732m=6.928m. Central diagonal of a cube =3×a

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