A small cube of side 4 cm is placed in a cube of side 5cm. Find the volume of the air in between the two cubes.
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Volume of cube =4
3
=64cm
3
As sphere touches the sides of cube, diameter of sphere is 4
Volume of sphere =
3
4
πr
3
=
3
4
×
7
22
×2
3
=33.51cm
3
Volume of gap = Volume of cube - Volume of sphere
=64−33.51
=30.49cm
3
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