What is the minimum number of cuts required to cut a cube into 80 pieces?
Answers
Answer:
7 cuts
Explanation:
2*2*2*2*2*2*2= 120 >80
=2^7
so, minimum cut required = 7
The question provided is faulty.
The correct question with a solution is given below:
What is the minimum number of cuts required to cut a cube into 60 pieces?
The minimum Number of Cuts required is 9
GIVEN: A cube needs to be cut into 60 pieces
TO FIND: Number of cuts
SOLUTION:
As we are given,
We need to cut a cube into 60 identical pieces
If we cut it once it turns into 2 identical pieces.
If we cut twice on the same face it turns into 3 identical pieces.
If we cut once on one face and another on the other face it becomes 4 identical pieces.
The formula for the same,
General formula = number of identical pieces = (l+1)(m+1)(n+1)
where l, m,n are the no. of cuts on each face.
Therefore,
(l+1)(m+1)(n+1) = 60
(l+1)(m+1)(n+1)= 3×4×5
Equating the following,
l+1=3,m+1=4,n+1=5
Therefore,
l=2
m=3
n=4
Now,
Total no. of cuts = l+m+n
= 3+4+2
=9
Hence, a minimum of 9 cuts have to be made to get 60 identical pieces.
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