Question

a cube of side 6cm is cut into a number of cubes each of side 2cm how many such cubes r formed

Answer 1

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Answer 2

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.