# Cutting a cube & Identifying the cubic or cuboid after cutting it

## Cutting a cube

It is a simple fact that if wood or rod is to be cut in two equal parts, then we cut it one. Similarly, if the wood or rod is cut into three, four or five equal parts, then we cut it once Or cut the barn times, it cuts (N-1) times

If the cube with an 8 cm arm has to be cut into small cubes of 2 cm, then each surface will have
N = (  8/2 )  = 4 sections and to divide it into four sections, the cube is divided from three sides to  ( N-1 ) = ( 4 -1) = 3 times, and after partition, $n^{3}$ = $4^{3}$ = 64 small cubes will be received

If a cube is to be cut into 8 small cubes, then the first cube root of 8 is called ∛8 = $\sqrt[3]{2\times&space;2\times&space;2\times&space;2}$  = 2. In this case, we get 2 cubic roots, namely the cube from one on each side (n-1) On cutting, we will get 8 small cubes

### Identifying the cubic or cuboid after cutting it

After cutting a small cubic material into a cub, a cube or cuboid is seen on the various parts of the cube or cuboid

Top cube - Such cube is located at the top of the corner ie every lane of its cube is equal to eight because any cube has eight top or corners.

Middle cube - Such cube is located right in the middle of each edge

Central cube - Such cube is located at the right-center of each surface

Intermediate cube - Such a cube is located in the middle of the central cube of each surface, it is not visible from the outside, it is called the Kuclias cube.

The number of total small dances obtained after dividing the larger cube into smaller cubes = $n^{3}$

Where
$N=\frac{One.arm&space;.of&space;.big.cube}{One.&space;arm.of.big.cube}$

Number of top cube                    =             6
Number of middle cube              =            12(n-2)
Number of central cube              =
Number of intermediate cube    =             $(n-2)^{3}$

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