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 7 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 7 cuts? from screen.

[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.

Stay updated with Quantitative Aptitude questions & answers with Testbook. Know more about Mensuration and ace the concept of Solid Figures and Cube

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. Three equal cubes, are placed adjacently in a row. Then the ratio of the total surface area of the cuboid formed to the sum of the total surface areas of the three cubes is :Q2. The cost of a solid cylinder of radius 14 m height 3.5 m, when the cost of its metal is ₹50 per cubic meter, is:Q3. Three cubes of metal, whose edges are 3, 4, 5 cm respectively, are melted and formed into a single cube. The edge of the new cube is equal to :Q4. Let A and B be two solid spheres such that the surface area of B is 300% more than the surface area of A. The volume of A is r% lower than the volume of B. Then value of r is equal to :Q5. A conical tent is 9 m high and the radius of its base is 12 m. What is the area of canvas required to cover it?Q6. A 4 cm sided cube is cut into 1 cm sided cubes. What is the percentage increase in the surface area after such cutting ?Q7. The sum of length, breadth and depth of a cuboid is 19 cm and its principal diagonal is 5√5 cm, then its surface area is :Q8. Find the total surface area of the hemisphere whose radius is 27 cm and π = 3.14 (ln cm2).Q9. The capacity of a tank of dimensions 9 m × 7.5 m × 1.2 m will be:Q10. 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?

More Mensuration Questions

Q1. If the height of the triangle is 24 cm, and the area of the triangle is 168 sq. cm. The perimeter of the rectangle is 84 cm. If it were given that the base of a triangle is equal to the breadth of a rectangle. Find length of rectangle.Q2. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is-Q3. Three equal cubes, are placed adjacently in a row. Then the ratio of the total surface area of the cuboid formed to the sum of the total surface areas of the three cubes is :Q4. The ratio of length and breadth of a rectangle is 3 ∶ 2 respectively. The ratio of its perimeter and area is 5 ∶ 9. The breadth of the rectangle (in metres) is :Q5. The length of one side of a right - angled triangle is twice the length of the other side and the length of hypotenuse is 10 cm. The area of the triangle is :Q6. The dimensions of a rectangular floor of a room when increased by 4 metres become in the ratio 4 : 3 and when decreased by 4 metres become in the ratio 2 : 1. What are the dimensions of the floor of the room?

स्रोत : testbook.com

What is the maximum number of identical pieces a cube can be cut into by 6 cuts?A 12B 36C 18D 27​

Find an answer to your question What is the maximum number of identical pieces a cube can be cut into by 6 cuts?A 12B 36C 18D 27​

What is the maximum number of identical pieces a cube can be cut into by 6 cuts?A 12B 36C 18D 27​ - Brainly.in

स्रोत : brainly.in

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

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

Guys, does anyone know the answer?