Given: length of a side of a cube “a” =4cm

Thus, Volume of a cube = a³

Where a = side of a cube

Thus, Volume of a cube = (4)³ = 64 cm³

Now, given that A cube contains a sphere touching side of a cube,

Now, By the figure drawn above, we can say that

Diameter of a sphere = side of a cube = 4cm

Where,

r = radius of a sphere

Thus,

Volume of a gap in between cube and sphere = Volume of a cube –

Volume of a sphere

Volume of a gap in between cube and sphere = (64 – 33.52)cm³

Volume of a gap in between cube and sphere = 30.48 cm³