DICES-CUBES PART 3

Cubes and dices deals with the problems of the following types:-

1. Counting the number of cubes or blocks in the given figure.
2. Painting a stack of cubes.
3. Coloring the six faces of a cube.
4. Construction of boxes.
5. Problems on dice.

1. Counting the number of cubes or blocks in the given figure:- When the number of cubes or blocks or cuboids in a figure are to be counted, the procedure to be adopted is described.

2. Painting a stack of cubes:- This type includes the method of solving questions based upon painting of selected sides of a stack of cubes or blocks.

3. Colouring the six faces of a cube:- Certain determinations are accommodated shading the six appearances of a cube and after that based upon these details, analyse the shading structure of the cube. Then, answer the questions based on it.

NOTE:-
Six faces of a cube are represented as shown below:

Here,
Front face → Face no. 1,
Rear face → Face no. 3,
Top face → Face no. 5,
RHS face → Face no. 2,
LHS face → Face no. 4,
Bottom face → Face no. 6.

4. Construction of boxes:- Once in a while there are certain problems in which an applicant is given a figure including a sheet of paper cut into a particular plan and recognize the solid shape or cuboid that will be framed by folding such a sheet of paper.
On the other hand, distinguish the kind of figure that will be shaped when a specific solid shape or cuboid is unfolded. An unfolded box (cube or cuboid) may show up in any of the structures appeared in the figures given underneath. Additionally given alongside every figure, is the subtle elements of the block framed when such a sheet is folded to shape a container/box:
Type I:

In this type:
1 lies inverse 5,
2 lies inverse 4,
3 lies inverse 6.

Type II:

In this type:
1 lies inverse 6,
2 lies inverse 4,
3 lies inverse 5.

Type III:

In this type:
1 lies inverse 4,
2 lies inverse 6,
3 lies inverse 5.

Type IV:

In this type:
1 lies inverse 4,
2 lies inverse 5,
3 lies inverse 6.

Type V:

In this type:
1 lies inverse 3,
2 lies inverse 5,
4 lies inverse 6.

Type VI:

In this type:

will be one of the faces of the cube and it lies inverse 3,
2 lies inverse 4,
1 lies inverse 5.

Type VII:

In this type:

will be one of the faces of the cube and it lies inverse 3,
2 lies inverse 4,
1 lies inverse 5.

Type VII:

In this type:

will be one of the faces of the cube and it lies inverse 3,
2 lies inverse 4,
1 lies inverse 5.

Type VIII:

In this type:

and

are two faces of the cube and that lie inverse to each other,
1 lies inverse 3,
2 lies inverse 4.

5. Problems on dice:- Sometimes figures are given showing the same dice (may be in the form of a cube or a cuboid) in various positions. After observing these figures, find the number opposite a given number on the dice.