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The volume of a cube whose surface area is 96 cm2, is - Mathematics

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प्रश्न

The volume of a cube whose surface area is 96 cm2, is

विकल्प

  • 16`sqrt(2) cm^3`

  • 32 cm3

  • 64 cm3

  •  216 cm3

MCQ

उत्तर

Let,

 a → Side of the cube

V → Volume of the cube

A → Surface area of the cube

We have,

`A = 96 cm^2`

6a^2 = 96`                   { Since ,A = 6a}

     a = 4 cm 

So,

V = a3

    =43

    =64 cm3

Thus, volume of the cube is 64 cm3.

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अध्याय 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.3 [पृष्ठ ३५]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.3 | Q 5.2 | पृष्ठ ३५

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