In the Cube and Dice logical reasoning section, A cube is a three dimensional solid object bounded by six square faces or surfaces, it can also be called a “regular hexahedron”. We are often interested in finding its surface area and volume. On the other hand, dice are cubical or cuboidal shape objects containing numbers/figures/symbols embedded on their surfaces. Dice are used for gambling and non gambling such as craps, ludo etc.

Several types of questions based on Cube and Dice reasoning are asked regularly in various competitive examinations. In this article, we are going to cover the key concepts of the Cube and Dice reasoning section along with the solved examples, practice questions and the tips and tricks etc. Read the article thoroughly to clear all the doubts regarding the same.

What is Cube and Dice?

As mentioned above, Cube is a three dimensional figure which can only be made out of square. Square when given a height equal to one of the sides, becomes a cube. Die/Dice is a three dimensional figure with each of its six sides/faces showing different numbers/letters/colours etc. It has 8 corners and 12 edges. In a dice, length, breadth and height all are equal to each other.

Several types of problems based on Cube and Dice reasoning sections are asked in various government competitive exams, some of them are given below.

Important Facts

A cube has 6 square faces or sides
A cube has 8 points (vertices)
A cube has 12 edges
Only 3 sides of a cube are visible at a time (known as “Joint Sides”) and these sides can never be on the opposite side of each other
Things that are shaped like a cube are often referred to as ‘cubic’
Most dice are cube shaped, with the numbers 1 to 6 on the different faces.

Types of Cube and Dice Reasoning

As now we know what consists of the questions related to the Cube and Dice reasoning section. Let us see the various types of questions that may come one by one from below.

Problem based on Single Dice

In this type of cube and dice reasoning, problems related to single dice will be given.

Problem based on Two or more Dice

In this type of cube and dice reasoning, problems related to two or more that two dice will be given.

Basic Rules for Dice

There are certain dice rules in reasoning which can be used to solve dice-based questions:

Rule No. 1:

Two opposite faces of the dice cannot be adjacent to each other.

Here, faces with number 4, 3, 6 and 1 are adjacent to the face number 2.
Therefore, the 4, 3, 6, 1 can’t be opposite to the face number 2.
Therefore, face number 5 is opposite to face number 2.

Rule No. 2:

If two dice are as shown below, and one of the two common faces (Face number 4) is in the same position, then the remaining faces will be opposite to each other.

In both the diagrams, two faces numbered 1 & 3 are common.
Also, 5 & 6 are remaining faces. Hence, the face which is number 5 is opposite to the face number 6.

Rule No. 3:

If in 2 different positions of the dice, the positions (different), the position of the face that’s common is the same, and then the opposite faces of the faces that remain will be in the same positions.

Rule No. 4:

If 2 positions of a die are given (Different) and it is also stated that the common face is different then the face opposite to the given common face would be that which is not shown on any given face in the 2 given positions. It is also to be noted that the opposite face of the faces that are left cannot be the same.

Note, in the above shown dice, the face having value 6 is not in the similar position.

The face numbered 1 is not shown.

So, the face opposite to the face with number 6 is 1. Also, the opposite face of 3 is the face with number 2 and the opposite to face numbered 5 is the face with number 1.

Cubes and Dices Test Practice Questions

We have already discussed cubes and dices in our earlier articles. In this article, we will discuss on the cubes and dices test practice questions. In cubes and dices test practice questions, there are different sections based on the type of questions asked. You will also find the answers at the end of the section. Cubes and dices test practice questions will help in solving the questions for the exams.

Part 1: Cubes and Dices Test Practice Questions

Directions: In this section, there are different types of questions asked based on the parts of cubes and their faces. There will be one common question where the information will be given and it will be followed by some questions.

Browse more Topics under Cubes And Dices Test

Cubes Test
Dices Test

Q. A cube painted red on all faces is cut into 125 cubes of the same size.

1. How many cubes are not painted on any face?

A. 8 B. 16 C. 18 D. 27 0

2. How many cubes are painted on one face only?

A. 8 B. 16 C. 36 D. 54 0

Q. A cube of side 4 cm is painted green on the pair of one opposite surface, red on the pair of another opposite surface and black on remaining pair of opposite surfaces. The cube is now divided into smaller cubes of equal size of 1 cm each.

3. Find the number of smaller cubes with three surfaces painted.

A. 6 B. 8 0 C. 16 D. 27

4. Find the number of smaller cubes with two surfaces painted.

A. 24 0 B. 8 C. 16 D. 30

5. Find the number of cubes with two surfaces painted with green and red color.

A. 10 B. 8 0 C. 9 D. 16

6. Find the number of cubes with two surfaces painted with red and black color.

A. 10 B. 8 0 C. 9 D. 16

7. Find the number of cubes with two surfaces painted with green and black color.

A. 10 B. 9 C. 8 0 D. 16

8. Find the number of smaller cubes with one surface painted.

A. 10 B. 8 C. 9 D. 24 0

9. Find the number of cubes with one surface painted with green color.

A. 10 B. 8 0 C. 9 D. 16

Find the answers here

For the above questions, the answers given below are in the same order

1. D. 27 0

2. D. 54 0

3. B. 8 0

4. A. 24 0

5. B. 8 0

6. B. 8 0

7. C. 8 0

8. D. 24 0

9. B. 8 0

Part 2: Cubes Test Practice Questions

Directions: In this part, there are some miscellaneous questions related to the cubes.

Q. Here is the information given below. Based on this information answer the questions.

I. A cube has six sides, each of which has a different color: black, brown, green, red, white, and blue.
II. The red side is opposite the black.
III. The green side is between the red and the black.
IV. The brown side is adjacent to the blue.
V. The blue side is adjacent to the white.
VI. The red side is the bottom face.

1. What are four colors that are adjacent to the green?

A. Black, blue, brown, red B. Black, blue, red, white
C. Black, blue, brown, white D. Black, brown, blue, white

2. Which of the information can be deduced from the information given in statement I, II, and V?

A. Brown is on top B. Blue is on the top
C. Black is on the top D. Brown is opposite to black

3. Which of the following statements given above adds no information?

A. II B. III C. V D. VI

4. If the red side is exchanged for the green side and the blue is swapped for black, then which of the following is false?

A. Red is opposed to black B. White is adjacent to brown
C. Green is opposite to blue D. White is adjacent to blue

5. From a 10 × 10 × 10 cube, which is formed by combinations of 1 × 1 × 1 cubes, a layer of the smaller cubes is removed. What will be the number of 1 × 1 × 1 cubes present in this new cube?

A. 488 B. 900 C. 512 D. 729

6. A 5 × 5 × 5 cube is formed by using 1 × 1 × 1 cubes. If we add another layer of such 1 × 1 × 1 cube in the 5 × 5 × 5 cube. What will be the number of 1 × 1 × 1 cubes in the newly formed cube?

A. 216 B. 343 C. 294 D. 264