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The Length of the Longest Pole that Can Be Kept in a Room (12 M × 9 M ×8 M) is - Mathematics

MCQ

The length of the longest pole that can be kept in a room (12 m × 9 m ×8 m) is

Options

  • 144 cm2

  •  216 cm2

  • 180 cm2

  • 108 cm2

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Solution

216 cm2

Let the edge of the cube be a cm.
Then, length of the diagonal `=sqrt(3"a")`

or,

`sqrt(3"a") = 6sqrt(3)`

⇒ a = 6 cm 

Therefore, the total surface area of the cube = 6a2 

`= (6xx6xx6) "cm"^3`

= 216 cm3  

Therefore, the total surface area of the cube = 6a2 

= (6 × 6 × 6 ) cm

= 216 cm

  Is there an error in this question or solution?
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 35 | Page 921
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