Practice30Create account

The pieces may not be moved or stacked between cuts. What is the least number of straight cuts needed to divide a cube into 64 identical small cubes?

Competition practiceDice & Cubes
  • A12
  • B6
  • C16
  • D9

Step-by-Step Solution

64 small cubes means a 4 by 4 by 4 grid. Splitting one direction into 4 slices takes 3 cuts, and there are three directions: cuts. (12 counts 4 cuts per direction.)
Answer: D) 9

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Dice & Cubes practice questions

More Dice & Cubes practice

A cube-shaped cake is cut right through along every orange line shown. How many pieces…A cube is painted on all faces and cut into equal small cubes. Exactly 8 of the small…After a painted cube is cut into identical small cubes, 96 of them have paint on exactly…A large painted cube is cut into equal small cubes, and 60 of the small cubes turn out…This painted cube is cut into its small cubes. Counting every face of every small cube,…