Question

What is the minimum number of cuts required to cut a cube into 40 identical pieces?

Answer 1

Answer:

8

Step-by-step explanation:

The formula for the calculation of the cuts in the x direction, y direction and the z direction is :

( x + 1 ) ( y + 1 ) ( z + 1 ) = Total number of cuts.

For the cuts has to be minimum, 40 has be factorized to the near factors.

So,

40 = 2 × 4 × 5

Thus, on comparing from the above equation, we get that,

The total number of minimum cuts = 1 + 3 + 4 = 8

Thus, the minimum number of cuts which are required to cut the cube into 40 identical pieces is 8