Question

If the length of a diagonal of a cube is $8\sqrt{3}cm,$ then its surface area is

• A. $512c{m}^2$
• B. $384c{m}^2$
• C. $192c{m}^2$
• D. $768c{m}^2$

Answer 1

The correct option is B

$384c{m}^2$

$\text{Length of the diagonal of cube}=8\sqrt{3}cm$

$\therefore Itsside=\frac{Diagonal}{\sqrt{3}}$

$=\frac{8\sqrt{3}}{\sqrt{3}}=8cm$

$\therefore \text{Surface area}=6a^2=6(8{)}^{2}c{m}^2$

$=6\times 64=384c{m}^2$