Question

What is the maximum number of identical pieces a cube can be cut into by 31 cuts?
Select one:
a. 1530
b. 1552
c. 1362
d. 1452

Answer 1

Answer:

1452 -- option d is the answer

Step-by-step explanation:

(10,10,11) is the combination to get that one

Answer 2

Maximum number of 1452 identical pieces a cube can be cut into by 31 cuts

Given:

• A cube cut by 31 cuts

To Find:

• Maximum number of identical pieces   cube can be cut

Solution:

To maximize number of pieces

31 cuts can be distributed as 10 + 10 + 11  in different directions.

Number of pieces obtained for x , y and z cuts in each direction is

(x + 1)(y + 1)(z + 1)

Calculate number of cuts

(10 + 1)(10 + 1)(11 + 1)

= (11)(11)(12)

= 121(12)

= 1452

Correct option is d) 1452