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Questions which come in competitive exams from Logical Reasoning Cubes, are mostly related to number of cuts or painting of the cubes. To solve these questions the most important part is to visualize the cube. In this article we will try to understand the basic about problems. Problem of the Month: Cutting a Cube. The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard. Ever faced problems in attempting commonly asked cube based questions in question on - cuts and identical cubes with simple formulas and tricks to give you.


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These puzzles require us to think visually about the puzzle, which makes it somewhat tougher than other type of puzzles. We will discuss the basic concepts of the cube and few things that we cube cutting problems be using is majority of the puzzles related to cubes.


Cube related puzzles are asked in a number of ways unlike selection or arrangement puzzles, where the primary pattern remains the same. We will illustrate some of the types of puzzles and the approach one should use to solve such problems.

We will focus our discussion on what would happen to a cube when we cut it with a certain number of cuts, shape of the cube after the cuts, how many sub-parts are formed etc. When we say Cube, we refer to the three dimensional cube cutting problems with equal faces total 6 faces.

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Few things to remember while dealing with a cube: A cube has 6 faces A cube has cube cutting problems edges A cube has 8 vertices Let us make a cut parallel to the base of the cube. We get two solids.


If we make another cut parallel to the base, we cube cutting problems three solids. If we make one cut parallel to the base say x-axis and another cut perpendicular to the first cut say y axisthe second cut will divide each of the two solids we get from the first cut into two pieces.

We get total 4 pieces or 4 parts of the initial big cube.

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Similarly, another cut parallel to both the previous cuts z-axis will further divide these 4 pieces into two pieces each, thus making the total pieces as 8. They can be cubes or cuboids. This is the scenario when the number of cuts are given to us. Say if we make total 12 cuts, all 12 can be in x-axis, or 6 in x and 6 in y-axis etc.

Find the least number of cuts required which can cut a cube into 24 identical cube cutting problems First of all, if we have 24 pieces, factorize the number it into three numbers such that all the factors are greater than cube cutting problems.

Painted sides of a cube

Find the maximum number of smaller pieces with 19 cuts on a cube? Since, equal number of cuts in each direction gives the maximum number of pieces. So, we can split 19 cuts into 6,6 and 7. It will improve your ability to solve all kinds of mathematical problems whether in mathematics, science, engineering, business, or purely recreational mathematical problems puzzles, games, etc.

In the pages of this book you'll discover seven indispensable problem-solving techniques: Based on modern advances in the fields of artificial intelligence and computer simulation of thought, cube cutting problems techniques are taught here by an effective problem-solving methodology.