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

MCQ

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

#### Options

• 10 cm

• 10sqrt(2) cm

• 10sqrt(3) cm

• 20 cm

#### 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 .

Concept: Surface Area of a Cuboid
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#### APPEARS IN

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

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