If the length of the diagonal of a cube is 16 √(3) cm, what is its lateral surface area (in sq cm)?

If the length of the diagonal of a cube is 16 √(3) cm…

If the length of the diagonal of a cube is 16 $\sqrt{3}$ cm, what is its lateral surface area (in sq cm)?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1,024

Let side of cube = a

Diagonal of cube = $16\sqrt{3}$ cm

$a\sqrt{3} = 16\sqrt{3}$

a = 16

Lateral Surface Area = $4a^2$ = $4 \times 16^2$ = 4 × 256 =1024 cm²