MathDB

20

Part of 2020 Malaysia IMONST 1

Problems(1)

Malaysia IMONST 1 Senior P20

Source:

9/19/2020
Geetha wants to cut a cube of size 4×4×44 \times 4\times 4 into 6464 unit cubes (of size 1×1×11\times 1\times 1). Every cut must be straight, and parallel to a face of the big cube. What is the minimum number of cuts that Geetha needs? Note: After every cut, she can rearrange the pieces before cutting again. At every cut, she can cut more than one pieces as long as the pieces are on a straight line.
combinatorics