Q. 64.8( 9 Votes )

# A cube of side 4

Answer :

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

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