Question

A cube of side 6 cm is cut into number of cubes each of side 2cm. The number of cubes formed are what ? (a) 27 (b) 12 (c) 9 (d) 6

Answer 1

Answer:

Total number of cubes formed is 27.

To find:

Number of cubes which can be formed from a cube of side 6 cm.

Solution:

Side of the cube before cutting it into pieces = 6 cm

Volume =6^{3} = 216

Side of the each small cube formed from the 6 cm cube = 2 cm

Volume =2^{3}=8

Let us assume that the number of cubes is N.

As there is no wastage,

Volume of bigger volume is equal to volume of smaller cubes.

216=N\times 8

N= \frac{216}{8}=27\\

Therefore, Number of cubes formed from the bigger cube is 27.

Answer 2

Step-by-step explanation:

27 cubes can be formed of side 2cm from a cube of side 6cm.