# A cube of side 6

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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