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If the Length of a Diagonal of a Cube is 8 √ 3 Cm, Then Its Surface Area is - Mathematics

MCQ
Short Note

If the length of a diagonal of a cube is `8 sqrt(3)` cm, then its surface area is

Options

  • 512 cm2

  •  384 cm2

  • 192 cm2

  •  768 cm2

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Solution

Let,

 a→ Side of the cube

Length of the diagonal = 8`sqrt(3) ` cm 

`sqrt(3a) = 8 sqrt(3)`

            a = 8 cm

We have to find the surface area of the cube

Surface area of the cube,

`=6a^2`

`=6xx8^2`

`=384  cm^2`

Thus, surface area of the cube is  384 cm2

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Q 3.2 | Page 35
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