Question

Find the minimum number of cuts required to get 120 smaller pieces (cuboids or cubes) from a large cube?

• A. 12
• B. 11
• C. 13
• D. 15

Answer 1

The correct option is A 12

Number of pieces required = 120
Let us write 120 as the product of 3 numbers = 1*1*120, 1*2*60, 1*3*40,.....,
We need factors that are closest to each other → 3*5*8, 4*5*6
In case of 4*5*6 → No of cuts = (4-1) + (5-1) + (6-1) = 12
In case of 3*5*8 → No. of cuts = (3-1)+(5-1)+(8-1) = 13
Therefore, minimum number of cuts required = 12