The area of one surface of a cube is 64 sq.m., let us calculate the volume of the cube.
Let the surface of the cube be ‘a’ m.
We know that all surfaces of a cube are equal.
Therefore, the surface area of the cube = a2
Given surface area of the cube = 64 sq. m
∴ a2 = 64
⇒ a = √64
⇒ a = 8 m
We know that the volume of a cube = a3
∴ Volume = 83 = 8×8×8 = 512 m3