Question

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

A
10cm
B
102cm
C
103cm
D
20cm

Solution

## The correct option is C $$10 \sqrt 3 cm$$The longest stick that can be fit is the length of the diagonal of the cubical vessel.Therefore, length of diagonal $$=\sqrt { { (10) }^{ 2 }+{ (10) }^{ 2 }+{ (10) }^{ 2 } }$$ $$=\sqrt { 3(10)^{ 2 } } =10\sqrt { 3 } cm$$Mathematics

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