Question

What is the minimum number of cuts that must be given on a bigger cube so that one can get 1331 smaller identical peices

Answer 1

Answer:

Step-by-step explanation:

11 cuts

Answer 2

Answer:

30 cuts that must be given on a bigger cube so that one can get 1331 smaller identical pieces

Step-by-step explanation:

Factorise 1331 in form of a*b*c where a, b, and c are as close as possible then subtract 1 from each multiplier and add them.

a, b, c is the no of pieces when cut from one of the dimensions of 3D respectively.

a-1, b-1, and c-1 are the cuts to get those pieces in each dimension

Possible factors are-

$1*11*121 ( 1+11+121=133 )\\11*11*11( 11+11+11=33 )$

The smallest sum is ( 11+11+11=33 )

$1331 = 11*11*11 \ and \ 11+11+11=33$  subtracted 1 from each factor

11 identical layers, which requires 10 cut

11 identical vertical layers (front to back), which requires 10 cuts

11 identical vertical layers (left to right), which requires 10 cuts

30 cuts are required to get 1331 pieces.