Q. 453.7( 4 Votes )
A cube of side 6 cm is cut into a number of cubes each of side 2 cm. The number of cubes formed is
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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