Question

The diagonal of a cube is 9√3 cm long. Its total surface area is

A. 243 cm² 

B. 486 cm² 

C. 324 cm² 

D. 648 cm²

Answer 1

We know that, 

Diagonal of the cube = \(a\sqrt{3}\)

= \(a\sqrt{3}\)

= \(\sqrt[9]{3}\)

i.e. a = 9 

Therefore, 

Total surface area of the cube = 6a² 

= 6 × 9 × 9 

= 486 cm² 

Hence, option B is correct