Question

A cube cut in 4 qual part and each have 3 axis.So how many small cubes

Answer 1

In simple language:

Condidering 3 axis x,y,z(with one vertices on 0,0,0) of 6 cms each.

If you make 3 cuts along axis x(2 cms each) ,it will divide cube into 3 equal cuboids(2*6*6 cms). Now considering each cuboid , cutting into 3 equal parts along axis y (3*2) and z (3*2)will give 9 small cubes of (2*2*2). There for 3 cuboids ,total 9*3= 27 cubes .

Another technique to solve the equation

Let each side measures 3x so total volume be 3x*3x*3x=27(x^3)

Now, after dividing each axis into 3 equal parts, each cube has volume of x*x*x =x^3

Total no. Of cubes = total volume of big cube/volume of each disintegrated cube

=27