Which is the least possible number of cuts required to cut a cube into 64 identical pieces?
9
To divide the cube into 64 identical pieces, it must be cut into dimensions of 4 x 4 x 4. The minimum number of cuts needed for each of the three perpendicular faces is as follows:
Top-to-bottom cuts on the top/bottom face: 3 cuts
Left-to-right cuts on the left/right face: 3 cuts
Front-to-back cuts on the front/back face: 3 cuts
Therefore, the least number of cuts required to divide the cube into 64 identical spaces is 3 + 3 + 3 = 9 cuts.
Important Questions from Miscellaneous Topics
- In communication the word 'Haptics' signifies :
- Which of the following statements best defines the scope of semiotics?
The compound interest on Rs. 75,000 for three years, at successive interest rates of 4%, 6% and 9% for each year respectively is:
The value of x in the following figures is :
When a child reaches adolescence, there is apt to be a conflict between the parents and the child, since
the latter considers himself to be by now quite capable of managing his own affairs, while the former
are filled with parental solicitude, which is often a disguise for love of power. Parents consider, usually,
that the various moral problems which arise in adolescence are peculiarly their province. The options
they express, however, are so dogmatic that the young seldom confide in them, and usually go their
own way in secret.
