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

# what is the least possible number of identical pieces a cube can be cut into by 15 cuts?

Category :

### Mohammed

Guys, does anyone know the answer?

get what is the least possible number of identical pieces a cube can be cut into by 15 cuts? from screen.

## 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 ✍️ 2. Find the number of pieces obtained when a cube is cut by 15 cuts. (1) 16 (2) 196 (3) 216 clat cannot be determined

Question

## 2. Find the number of pieces obtained when a cube is cut by 15 cuts. (1) 16 (2) 196 (3) 216 clat cannot be determined

Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

5 4

स्रोत : www.toppr.com

## What is the maximum number of identical pieces that a cube can be cut into by 15 cuts?

Answer to: What is the maximum number of identical pieces that a cube can be cut into by 15 cuts? By signing up, you'll get thousands of...

Volume

## What is the maximum number of identical pieces that a cube can be cut into by 15 cuts?

What is the maximum number of identical pieces that a cube can be cut into by 15 cuts? Question:

What is the maximum number of identical pieces that a cube can be cut into by 15 cuts?

## Cuboid - Cube:

A cuboid is a three dimensional solid that represents a rectangular box that has straight walls arranged perpendicularly. A cube is a cuboid that has all the walls of the same dimension. A geometric shape can be divided into

N + 1 N+1 parts with N N cuts.

Become a Study.com member to unlock this answer! Create your account

Let us assume that the cube is cut in two cuboid with a single cut along a plane parallel to x-y axis. To create identical shapes same number of...

### Become a member and unlock all Study Answers

Start today. Try it now

Create an account

How to Calculate the Volume of a Cube: Formula & Practice

from

Chapter 18 / Lesson 12

635K

Learn how to find the volume of a cube. View the formula for calculating the volume of a cube. See examples of how to calculate the volume of a cube using its side length, surface area, or diagonals.

### Related to this Question

What is the minimum number of cuts required to cut a cube into 46 identical pieces?

Three different faces of a cube are painted in three different colours; red, green, and blue. This cube is now cut into 216 smaller but identical cubes. What are the least and the largest numbers of small cubes that have exactly 3 faces painted?

How many pieces will result in cutting an oval 12 times?

The surface of a cube is painted red and blue, 3 sides of each color. the cube is then cut into 27 equal-sized smaller cubes. A. How many cubes have at least 2 sides painted blue? B. How many cubes

The surface of a cube is painted red and blue, 3 sides of each color. the cube is then cut into 27 equal sized smaller cubes. A: How many cubes have at least 2 sides painted blue? B: How many cubes ha

A strip of wood 78 inches long, is to be cut into pieces 3 and 3/4 inches long. How many pieces can be cut?

A strip of wood 66 inches long is is cut into 12-inch pieces. How many pieces can be cut?

If you cut any size circle 5 times, what is the greatest number of pieces i can get?

How many different surface areas are possible when 8 one inch cubes are arranged so that each has one or more faces in common (touching) with at least one of the other cubes?

The surface of a cube is painted red and blue, 3 sides of each. The cube is cut into 27 equal-sized smaller cubes. Find both answers to the question, "How many cubes have at least 2 sides painted blue?" and "How many cubes have at least 1 side painted red

How many corners does a cube have?

How many vertices does a cube have?

How many 3 / 4 centimeter cubes do you need to create a cube with an edge length of 12 centimeters?

How many 34-centimeter cubes do you need to create a cube with an edge length of 12 centimeters?

What is the smallest number of colors that can be used to color the vertices of a cube so that no two adjacent vertices are colored identically?

How many different surface areas are possible when 8 one inch cubes are arranged so that each has one or more faces in common (touching) with at least one of the other cubes? (Explain step-by-step)

How many pieces of wood each 7 1/2 inches long can be cut from a board that is 45 inches long?

How many planes are determined by the vertices of a cube?

How many Rubik's Cube combinations are possible?

A strip of paper is 9/10 of an inch long. You need to cut the paper into 3/12 inch pieces. How many pieces will you be able to cut?

You have been asked to cut two boards (exactly the same length after the cut) and place them end to end. If the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15?

You have been asked to cut three boards (exactly the same length after the cut) and place them end to end. If the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 10?

A piece of string 25 and 1/2 inches long will be cut into 3/4-inch pieces. How many pieces will there be?

A box contains both cubes and five-sided pyramids. The total number of objects in the box is 17. The total number of sides for the cubes and pyramids is 95. How many cubes are in the box?

A large cube is painted red and then cut into 1000 congruent small cubes. how many of these small cubes are painted red on at least two faces?

How many combinations does a 4x4 Rubik's Cube have?

You have been asked to cut two boards (exactly the same length after the cut) and place them end to end. If the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15 inches?

How many edges does a pentagonal prism have?

How many combinations in a 5x5 Rubik's Cube?

स्रोत : homework.study.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, deploy, and run data-warehousing solutions in the cloud.

AWS enables you to deploy a data warehouse in minutes. Get started for free.

Sort Henry Ha

Lives in Brisbane, Queensland, AustraliaAuthor has 137 answers and 78.7K 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 ?

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?

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. Bu...

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