Question

If a cube of side 12cm is cut into cubes, each of side 3cm, then the number of small cubes is

Answer 1

No. Of small cubes

= volume of cube / volume of each cube

= (12) ³/(3) ³

=1728/27

= 64

Answer 2

Volume of Cube = a³

where, a = Side of Cube

Volume of Large

Cube = (12)³ cm³

= (12 × 12 × 12) cm³

= 1,728 cm³

Volume of 1 Small Cube = (3)³ cm³

= (3 × 3 × 3) cm³

= 27 cm³

Number of Cubes

= Volume of Large Cube / Volume of Small Cube

= 1,728 cm³ / 27 cm³

= 1,728 / 27

= 64

Hence, 64 is the number of small cubes.

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