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

8.66 m

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5.196 m

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6.928 m

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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
$= a \sqrt{3} = 4 \times 1.732 m = 6.928 m .$ $∵$ Central diagonal of a cube $= \sqrt{3} \times a$

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The length of the longest rod that can fit in a cubical vessel of side 10 cm,is
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