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The Length of the Longest Rod that Can Be Fitted in a Cubical Vessel of Edge 10 Cm Long, is - Mathematics

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Question

The length of the longest rod that can be fitted in a cubical vessel of edge 10 cm long, is

Options

  • 10 cm

  • 10`sqrt(2)` cm

  • 10`sqrt(3)` cm

  • 20 cm 

MCQ

Solution

The longest rod that can be fitted in the cubical vessel is its diagonal.

Side of the cube (l) = 10 cm 

So, the diagonal of the cube,

`= sqrt(3l)`

`= 10 sqrt(3 )`  cm 

So, the length of the longest rod that can be fitted in the cubical box is `10 sqrt(3 )` cm .

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Chapter 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.4 [Page 35]

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RD Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.4 | Q 2 | Page 35

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