if you want to remove an article from website contact us from top.

# what is the maximum possible number of identical pieces a cube can be cut into by 11 cuts?

Category :

### Mohammed

Guys, does anyone know the answer?

get what is the maximum possible number of identical pieces a cube can be cut into by 11 cuts? from screen.

## What is the maximum number of identical pieces a cube can be cut into by 13 cuts?

What is the maximum number of identical pieces a cube can be cut into by 13 cuts?

Home Engineering

What is the maximum number of identical pieces a cube can be cut into by 13 cuts?

#JOINT ENTRANCE EXAMINATION MAIN #ENGINEERING #MATHS

What is the maximum number of identical pieces a cube can be cut into by 13 cuts?

First cut will divide the cube in 2 parts. The second cut along perpendicular direction will double the number of parts to 4, now the 3rd cut will also be in perpendicular direction which will double the 4 parts to 8. So totally 8 cubes can be formed with 3 cuts. All the 3 direction should be perpendicular to each other.

Note that 1 cut = 2 parts of cube, 2 cut = 3 parts and so on.

x cuts made along one plane results in x + 1 pieces.

Logic behind this is, divide the given number of cuts in 3 equal parts and put that many cuts on each perpendicular direction.

For obtaining identical pieces, cuts must be made parallel to 3 planes of the cube.

Let we made x, y, z cuts along all three planes such that (x+1)(y+1)(z+1) = t is maximum & x + y + z = 13.

Different combinations can be possible but t will be maximum in (4, 4, 5) cuts.

So maximum pieces = (4 + 1) * (4 + 1) * (5 + 1) = 5 * 5 * 6 = 150.

### Similar Questions

0.27 g of a long chain fatty acid was dissolved in 100 cm3 of hexane. 10 mL of this solution was added dropwise to the surface of water in a

0.3 g of acid is neutralised by 40 cm3 .125N NaOH .equvivalent mass of acid is

1. A block of mass 10 kg is kept on a rough inclined as shown in figure. The coefficient of friction between the block and the surface is 0

## Trending Articles/News

JEE Main 2023: NTA issues notice for Tamil Nadu candidates on jeemain.nta.ac.in

JEE Main 2023: Last month preparation plan by experts

NCPCR requests NTA to reschedule JEE Main 2023 exams, remove 75% eligibility criteria

### Latest Question

A random variable X has the following probability distribution:

Let  be the nth term of a G.P. of positive terms. If

स्रोत : learn.careers360.com

## What is the maximum number of smaller identical pieces a cube can be cut into by making 17 cuts?

Answer (1 of 4): If you allow the parts you already cut to be regrouped, then the maximum equals 2^17 = 131,072 pieces. Step 1. You start with the cube and cut it in half. You get 2 identical cuboid blocks. Step n. You start with 2^(n-1) identical cuboid blocks. Stack them, keeping the sides fl...

What is the maximum number of smaller identical pieces a cube can be cut into by making 17 cuts?

Ad by Amazon Web Services (AWS)

Build low-cost web applications with AWS.

You can use whatever CMS you like, including WordPress, Drupal, and more. Get started for free.

Sort Doug Dillon

Let’s make cuts parallel to the face planes of the cube. If we make a cuts parallel to 2 opposite faces,

a+1 a+1

identical pieces might reveal themselves.

Same with the other two pairs of opposite faces for a total of

(a+1)(b+1)(c+1) (a+1)(b+1)(c+1) pieces. So we maximize (a+1)(b+1)(c+1) (a+1)(b+1)(c+1) subject to a+b+c=17 a+b+c=17

. Unfortunately, I see no way to continue apart from a little brute force. But I hope the numbers

a,b, a,b, and c c

will be was close together as possible. Perhaps,

a=5,b=6 a=5,b=6 and c=6 c=6 , making 294 294 pieces. Related questions

What is the maximum number of identical pieces a cube can be cut into by 4 cuts?

What is the maximum number of pieces into which a cube can be cut by 12 cuts?

What is the max number of identical pieces a cube can be into by 7 cuts?

How many cuts are required to get 32 equal cubes?

If 10 cuts are made on a cube, what will be the maximum number of identical pieces obtained?

Henry Ha

Lives in Brisbane, Queensland, AustraliaAuthor has 137 answers and 78.9K answer views2y

17 cuts = 18 pieces …

otherwise if its 3 dimension…. *brain explodes*

more cuts = more cubes

5+6+6 = 17 , 5*6*6 = 180 > 4*6*7 = 168

so 180 ?

1 cut = 2 piece, 2 cut = 3 piece,3 cut = 4 piece

so 5 cut = 6 piece, and 6 cut = 7 piece

so 5*6*6 becomes 6 * 7 * 7 = 294 pieces ?

Make Money Easy And Safe Way.

Adclickersbot is a Telegram earning platform that allows you to earn money by performing simple tasks.

Bruno Curfs

M.Sc. in Mathematics & Information Technology, University of Utrecht (Graduated 1993)Author has 1.1K answers and 1.7M answer viewsUpdated 2y

If you allow the parts you already cut to be regrouped, then the maximum equals 2^17 = 131,072 pieces.

Step 1. You start with the cube and cut it in half. You get 2 identical cuboid blocks.

Step n. You start with 2^(n-1) identical cuboid blocks. Stack them, keeping the sides flush. Then, cut the stack in half top-down. You get 2^n identical cuboid pieces.

Repeat step n for n = 2 to 17.

Note. Rather than stack them, there are other ways of grouping them, but it was the easiest way to describe. For instance, you can stack them, laying them on their largest surface or the smallest. In the former case

David Rutter

B.S. Discrete Mathematics, Georgia TechAuthor has 8.5K answers and 8.3M answer views3y

Related

What is the max number of identical pieces a cube can be into by 7 cuts?

As long as you can restack the pieces after each cut, you can double the number of pieces with each cut, giving you a total of 128 identical pieces.

If you can't restack them, i.e. all the cuts happen instantly while the cube is suspended in the air, you can get at least 36 identical pieces.

Midhilesh Momidi

Data Scientist at EY (Ernst & Young) (2021–present)3y

Related

If five cuts are made on a cube, what is the minimum number of pieces obtained?

Take a Cube and 1 cut gives 2 pieces and if we cut perpendicularly we get 4 pieces or a parallel cut gives one extra piece so total 3

So to get minimum number of pieces we need to cut the cube in parallel.

1 cut 2 pieces 2 cuts 3 pieces

…n cuts gives n+1 pieces

So 5 parallel cuts gives 6 pieces minimum

DataGrip, a powerful GUI tool for SQL.

Smart code completion, on-the-fly analysis, quick-fixes, refactorings that work in SQL files, and more.

Neshar Ahmed

Student at Studying3y

Let’s build cuts parallel to the face planes of the cube. If we have a tendency to build a cuts parallel to a pair of opposite faces, a+1 identical items may reveal themselves.

Same with the opposite 2 pairs of opposite faces for a complete of (a+1)(b+1)(c+1) items.

So we have a tendency to maximize (a+1)(b+1)(c+1) subject to a+b+c=17. sadly, I see no thanks to continue aside from a touch brute force. however I hope the numbers a,b,and c are going to be was approximate as potential. Perhaps, a=5,b=6 and c=6, creating 294 items.

Aaron Jantzen

Related

What is the maximum number of identical pieces a cube can be cut into by 4 cuts?

Any Japanese chef can give you a far better answer to this than your typical mathematician will. A mathematician might tell you 12 or 16 depending upon whether they rearrange the pieces before cutting. However a Japanese chef will tell you “thousands” and that is meant literally. Not only can it be done, it is indeed regularly done by these chefs. The secret is called the Katsuramuki technique. Quite simply, the first cut is a spiral, which is normally done by hand with a sharp knife on a log-shaped vegetable such as Daikon, resulting in a long sheet, but could work with a cube by gradually ro

स्रोत : www.quora.com

## [Solved] What is the maximum number of pieces into which a cube can b

Given:  A cube that has been applied 13 cuts.  Concept: By cutting the cube for the first time, it will be divided into 2 parts.  By cutting

Home Quantitative Aptitude Mensuration Solid Figures Cube

## What is the maximum number of pieces into which a cube can be cut by 13 cuts?

This question was previously asked in

HSSC Haryana Police Constable 31 Oct 2021 Morning Shift Official Paper

View all HSSC Haryana Police Constable Papers >

150 14 100 76

Option 1 : 150 Crack with

India's Super Teachers

FREE

Demo Classes Available*

Free Tests

View all Free tests >

FREE

HSSC Constable Male 23rd December 2018 official paper

18.1 K Users

100 Questions 80 Marks 90 Mins

Start Now

## Detailed Solution

Given:

A cube that has been applied 13 cuts.

Concept:

By cutting the cube for the first time, it will be divided into 2 parts.

By cutting the cube along the perpendicular, it will be divided into 4 parts.

Again, by cutting the cube along the perpendicular, it will be divided into 8 parts.

⇒ With 3 cuts, there will be a total of 8 cubes.

⇒ It can be concluded that 'n' cuts made along one plane will have 'n + 1' pieces.

Calculation:

To obtain equal pieces, cuts must be made parallel to 3 planes.

Let's assume, a, b, and c cut made along three planes such that there will be (a + 1)(b + 1)(c + 1) = m pieces & a + b + c = 13.

⇒ Several combinations can be made but 'm' will be maximum in (4, 4, 5) cuts.

∴ The required number of pieces = m = (4 + 1)(4 + 1)(5 + 1) ⇒ 5 × 5 × 6 ⇒ 150

Share on Whatsapp

Latest HSSC Haryana Police Constable Updates

Last updated on Sep 22, 2022

The Haryana Staff Selection Commission released the Haryana Police Constable Final Result for Male and Revised Final Result for Female Constable post on 17th June 2022. There was a total vacancy of 7298 for the said Haryana Police Constable Recruitment. The candidates can check their Haryana Police Constable Result using the steps mentioned here. The willing candidates can also go through the Haryana Police Constable Cut-Off form here.

Ace your Quantitative Aptitude and Mensuration preparations for Solid Figures with us and master Cube for your exams. Learn today!

India’s #1 Learning Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 3.5 Crore+ Students

‹‹ Previous Ques Next Ques ››

## More Solid Figures Questions

Q1. Find the total surface area of the hemisphere whose radius is 27 cm and π = 3.14 (ln cm2).Q2. The capacity of a tank of dimensions 9 m × 7.5 m × 1.2 m will be:Q3. The length, breadth and height of a rectangular cuboid are 20 m, 5 m and 25 m respectively. If the length increases by 25%, breadth increases by 15%, and height decreases by 10%, what will be the corresponding increase or decrease in the volume of the cuboid?Q4. Area of the floor of a cubical room is 48 m2. The length of the longest rod that can be kept in that room isQ5. What is the length of 66 cubic centimeters of silver if it is transferred into a wire of a radius of 1 millimeter?Q6. A solid metal cylinder of radius 14 cm and height 21 cm is melted down and recast into spheres of radius 3.5 cm. So the number of spheres that can be made is :Q7. How many spherical lead shots each having diameter 3 cm can be made from a cuboidal solid of dimensions 9 cm × 11 cm × 12 cm ? (take π =

227 )

Q8. The length of the side of largest cube that can be inscribed in a sphere of diameter 'd' is :Q9. In a circular cone, the cross-section made by a plane parallel to the base is a :Q10. A shuttle cock used for playing badminton has the shape, the combination of :

## More Mensuration Questions

Q1. The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre.Q2. Volume of a cone is 40 cubic metre more than volume of a cuboid. Radius and height of cone are 7 and 12 metres respectively and the length of the cuboid is equal to the height of the cone and the breadth and height of the cuboid are R and (R-2). Find the breadth of cuboid?Q3. Find the total surface area of the hemisphere whose radius is 27 cm and π = 3.14 (ln cm2).Q4. The capacity of a tank of dimensions 9 m × 7.5 m × 1.2 m will be:Q5. The length, breadth and height of a rectangular cuboid are 20 m, 5 m and 25 m respectively. If the length increases by 25%, breadth increases by 15%, and height decreases by 10%, what will be the corresponding increase or decrease in the volume of the cuboid?Q6. The length and breadth of a rectangular field are 10 m and 6 m respectively. Inside the field is a square paddy field whose side is equal to half the length of the rectangular field. The ratio of the area of the rectangular field to that of the paddy field is ___________.Q7. A geometrical figure has at least four lines and the opposite lines are parallel to each other and the opposite angles are equal. What is that geometrical figure?

स्रोत : testbook.com

Do you want to see answer or more ?
Mohammed 1 month ago

Guys, does anyone know the answer?