Question

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

Answer 1

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 .