Question

We need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed

Answer 1

125 smaller cubes means the cube is composed of 5x5x5

See the picture:

Hence, 5 cubes marked in the image is cut for every A,B,C,D,E rows. Hence. 5x5 cubes are cut.

Answer: 25.

Hope this clarifies.

Answer 2

Answer:

as cube as 3 dimebsions L,B,H

now 1 cut on any sidedivide cube into 2 parts

similaely 4 cuts on any side will divide it into 5 parts

hence 4 cuts on B will make 5*5 parts and 4 cuts on H ( 5*5*5=125) therefore 4+4+4=12 cuts