Math, asked by shristigupta9610, 9 hours ago

What is the maximum number of pieces into which a cube can be cut by 16 cuts

Answers

Answered by soniraajv
0

Answer:

Cub has 6 faces. The minimum number of cut required to cut a cube into 216 identical pieces of cube is 36.

Answered by amitnrw
0

Given :  a cube cut by 16 cuts

To Find :  maximum number of pieces into which a cube can be cut by 16 cuts

Solution:

A cube cut by  x , y and z  cuts  

Then number of pieces = (x + 1)(y + 1)(z + 1)

Maximum pieces are achieved when

x = y = z

16 is not multiple of 3 but 15 is

Hence 5 , 5 and 6  cuts  will given maximum number of pieces

Maximum number of pieces

= (5 + 1)(5 + 1)( 6 + 1)

= 6 * 6 * 7

= 252

the maximum number of pieces into which a cube can be cut by 16 cuts is 252

Additional Info :

If rearrangement of pieces is allowed after each cut

then maximum number of pieces = 2¹⁶  as after each cut pieces can be doubled .

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