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Question

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


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