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    what is the maximum possible number of cuts required to cut a cube into 216 identical pieces?

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    What is the minimum number of cuts required to cut a cube into 216 identical pieces?

    Fifteen cuts in total. The cube-root of 216 is 6 - therefore you need five cuts per axis.

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    What is the minimum number of cuts required to cut a cube into 216 identical pieces?

    Wiki User ∙ 7y ago Best Answer Copy

    Fifteen cuts in total. The cube-root of 216 is 6 - therefore you need five cuts per axis.

    Wiki User ∙ 7y ago This answer is: Study guides Algebra 20 cards

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    If you do not re-stack the pieces, then 15 cuts.

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    स्रोत : math.answers.com

    A cube is cut into 216 identical smaller cubes. In how many different ways can the smaller cubes be arranged to form cuboids of different surface areas if no two cubes are to be placed one above another?

    Answer (1 of 2): The question is basically asking you how many factors of 216 there are. 216= (2^3)*(3^3) Therefore cuboids can be formed measuring: 1*216 2*108 3*72 4*54 6*36 8*27 9*24 12*18 The answer is 8.

    A cube is cut into 216 identical smaller cubes. In how many different ways can the smaller cubes be arranged to form cuboids of different surface areas if no two cubes are to be placed one above another?

    Sort Saiket Talukdar

    Former Analyst at The Smart Cube (2017–2018)Author has 53 answers and 62.7K answer views6y

    i think the answer will be 8.

    since no cube can be paced on top of each other hence the height of the resulting cuboid will always be 1.

    hence immediately the first arrangement that comes to mind is horizontal line of 216 cubes.

    if that is true then another arrangement can be two lines of 108 cubes each.

    it actually boils down to finding the total no of ways 216 can be factored . which comes to 16.

    now consider a the case of 2 lines with 108 cubes each and 108 lines with 2 cubes each.both are exactly the same arrangements with just a different perspective of looking at it( think horizontal to ve

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    The question is basically asking you how many factors of 216 there are.

    216= (2^3)*(3^3)

    Therefore cuboids can be formed measuring:

    1*216 2*108 3*72 4*54 6*36 8*27 9*24 12*18 The answer is 8. Ritika Khurana 3y Related

    A cube is painted with red colour on its five faces. If this cube is cut into 216 equal small cubes, how many small cubes will have no faces coloured?

    Going by the question, since there are 216 smaller cubes it means there are

    6 x 6 cubes on each side. Here is how it will look like.

    Assume the front face is not painted red and every other face is. Now you want the number of cubes with no side painted. For this imagine peeling off the top layer, bottom one, left right and back one.

    Top layer has cubes = 36

    Bottom layer = 36

    Left layer = 24 (not 36 because its top 6 and bottom 6 are already gone in previous steps)

    Right layer = 24

    Back layer = 16 (again this has its top, bottom, left and right already gone, leaving you with a 4 x 4 block)

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    Find the least number of cuts required which can cut a cube into 60 identical pieces?

    Click here👆to get an answer to your question ✍️ Find the least number of cuts required which can cut a cube into 60 identical pieces?

    Question

    Find the least number of cuts required which can cut a cube into 60 identical pieces?

    A

    9

    B

    12

    C

    15

    D

    5

    Medium Open in App

    Updated on : 2022-09-05

    Solution Verified by Toppr

    Correct option is A)

    We need to cut a ute to 60 identical pieces

    If we cut oru it become 2 identical pieces.

    If we cut twice on same face it becomes 3 identical pieces.

    If we cute once on one face and another on other face it becomes 4 identical pieces.

    ∴ general formula ⇒ number of identical pieces=(l+1)(m+1)(n+1)

    (n,m,l)= no. of cut on each face

    Given:- (l+1)(m+1)(n+1)=60

    (l+1)(m+1)(n+1)=3×4×5

    ⇒(l+1)=3,m+1=4,n+1=5

    ⇒l=2,m=3,n=4

    ∴ total no. of cuts =l+m+n=3+4+2

    =9

    ∴ minimum 9 cuts have to be made to get 60 identical pieces.

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