If the length of a diagonal of a cube is `8sqrt(3)\ c m ,` then its surface area is `512\ c m^2` (b) `384\ c m^2` (c) `192\ c m^2` (d) `768\ c m^2`

Explanation

Here, given length of a diagonal is `8sqrt3`cm.

Let the side be a cm.

So, length of a diagonal = `sqrt(3a)`

`8sqrt3=sqrt(3a)`

`a=8cm`

Now, Surface area of cuboid = `6a^2`=`6xx8^2`=`384 cm^2`

Hence, option(b) is correct.