Answer :

Given: A cube of side 6 cm.


It is cut into a number of cubes each of side 2 cm.


Volume of a cube is given by: a3 (here ‘a’ is the side of a cube).


Let V1 be the volume of a cube with side 6cm


V1 = a3


V1 = 63 = 216 cm3


Let V2 be the volume of a cube with side 2cm


V1 = a3


V1 = 23 = 8 cm3


Let ‘n’ be the number of cubes of side 2cm which are cut from cube of side 6cm.


n × V2 = v1


n × 8 = 216


n = = 27


Total of 27 cubes each of side 2cm can be cut from a cube of side 6cm.

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