If the volume of a cube is 8, what is the surface area?

Solution:

We have volume of a cube of side ‘a’ is a³

Here, given that a³ = 8 ⇒ a = 2

Also surface area of the cube of side ‘a’ = 6a²

= 6(2)² = 24 Sq. Units

Example: If the surface area of the cube is 384 cm². Then find the length of the side and volume of cube.

Let ‘a’ be the side of the square. Then the surface area is 6a² = 384 (given)

⇒ a² = (384/6) = 64

⇒ a = 8

∴ Side of the square is “8cm”

And volume of the cube = a³ = 8³ = 512 cm³

If the volume of a cube is 8, what is the surface area?

Summary:

If the volume of a cube is 8 then the surface area is 24 Sq.Units.