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If the Sum of All the Edges of a Cube is 36 Cm, Then the Volume (In Cm3) of that Cube is

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Question

If the sum of all the edges of a cube is 36 cm, then the volume (in cm3) of that cube is

Options

  • 9

  • 27

  • 219

  • 729

MCQ
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Solution

A cube has total 12 edges.

Let,  a → edge of the cube

Sum of all the edges of the cube = 12a

36 = 12a

  a = 3 cm 

Volume of that cube,

V = a3

    = 33

   = 27 cm 3

Volume of the cube is  27 cm 3.

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Chapter 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.4 [Page 36]

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R.D. Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.4 | Q 14 | Page 36

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