Question

A solid cube of each side 10 cm has been painted Red, Black and Blue on the pairs of opposite faces.

It is then cut into cubical blocks of each side 2 cm. How many smaller no. of cubes can be formed?​

Answer 1

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Answer 2

The number of  smaller no. of cubes can be formed is 125.

Step-by-step explanation:

Given:

A solid cube of each side 10 cm has been painted Red, Black and Blue on the pairs of opposite faces.

Cube is then cut into cubical blocks of each side 2 cm.

To Find:

The number of  smaller no. of cubes can be formed.

Formula Used:

$V=p\times S$     ----- formula no.01.

V= Volume of solid cube.

S=Volume of  small cube which form when solid cube is cut.

p= Number of  small cube formed.

Solution:

As given,A solid cube of each side 10 cm has been painted Red, Black and Blue on the pairs of opposite faces.

Solid cube of each side  length= 10 cm.

Volume of the Solid cube  $V=( Solid\ cube\ of \ each\ side\ length )^{3}$

                                                 $=( 10 )^{3}\\ = 1000 \ cm^{3}$  

As given,Cube is then cut into cubical blocks of each side 2 cm.

Small cubical blocks of each side =2 cm.

Volume of small cubical blocks  $S=( Small\ cubical\ block\ of \ each\ side\ length )^{3}$

                                                        $=2^{3} =8\ cm^{3}$

Applying formula no.01.

  $1000=p\times 8$

      $p=\frac{1000}{8}$

        $p=125$  

  Thus, the number of  smaller no. of cubes can be formed is 125.    

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