Question

The volume of a cube is 729 cm³. Find its surface area.

Answer 1

Let the edge of the cube be a.

AS, 

Volume of the cube = 729 cm³ 

`rArr a^3 = 729`

`rArr a = root(3)(729)`

⇒ a = 9 cm

Now,

Surface area of the cube = 6a²

= 6 × 6 × 9

= 486 cm²

so, the surface area of the cube is 486 cm² .