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Q.

What is the length of the longest rod that can be fitted in a cubical vessel of edge 10 cm?


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a

10 cm

b

10 2   cm

c

10 3   cm

d

20 cm 

answer is C.

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Detailed Solution

Given that, the edge of the cubical vessel is 10 cm.
We have to find the length of the longest rod that can be fitted in a cubical vessel.
The formula that we will require to solve this question is-
Length of diagonal of the cube with edge “a”   =a 3  .
Now, with the help of this formula we will determine the diagonal.
d=10 3    a=10cm  
Hence, the length of the longest road that can be fitted in a cubical vessel of edge 10 cm long, is 10 3  cm.
Thus, option 3 is the correct option.
 
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