Question

Find the volume of a cube whose surface area is 384m square.

Answer 1

Surface area of cube is given by the formula 6a²
   So 6a² = 384
          a²  = 384/6 = 64
          a   = √64 = 8
The formula to find the volmue of cube is a³
       So we know that a = 8
                                  8³ = 512m³
The volume is 512m³

Answer 2

Answer :

The volume of cube is 512 cm³

Step-by-step explanation :

Total surface area of cube = 6 ( side )²

∴ 6 ( side )² = 384

⇒ ( side )² = 384 / 6

⇒ ( side )² = 64

⇒ side = √ 64

⇒ side = 8 cm

Hence, the length of the cube is 8 cm.

Volume of cube = ( side )³

⇒ ( 8 × 8 × 8 ) cm³

⇒ 512 cm³