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**Cube**

*A cube is three-dimensional figure, having 8 corner, 6 surfaces and 12 edges.*

**Important Facts**

If a cube is painted on all of its surfaces with the same colour and then divided into smaller cubes of equal size, then after separation, number of smaller cubes, so obtained will be calculated as under:

- Number of smaller cubes with three surface painted = 8
- Number of smaller cubes with two surface painted = (n -2 ) x 12
- Number of smaller cubes with one surface painted = (n-2)
^{2}x 6 - Number of smaller cubes with no surface painted = (n -2 )
^{3}

Here

**n =**Number of divisions on the surface of the bigger cube
=(Length of edge of big cube)/ Length of edge of one smaller cube

**Dice Concept**

A dice is three-dimensional figure with 6 surfaces. It may be in the form of a cube or a cuboid. After observing these figures, we have to find the different side( opposite or adjacent sides) of the dice.

**Dice Formation**

A Dice is formed by folding a sheet of paper. These forms may be

**Types of Dice**

There are two types of Dice.

**Ordinary Dice :**In this type of dice, the sum of opposite sides is not 7 but the sum of two adjacent sides are seven.**Standard Dice:**In such type of dice, the sum of opposite sides is 7 or sum of adjacent side is not 7.

__Different Rules for solving Questions related to Dice__

**Rule- 1 : :**If two sides of cubes are common( has same numbers or symbols), then the remaining two will be opposites of each other.

**Rule 2: If one side of Dices is common**

If one side of given dices are common then list these sides (numbers on them) either in clock-wise or anti-clockwise. Comparing the numbers obtained from both dices will give you the opposite numbers. See below given figure:

**Rule 3: If one side is common and it's place is same in both dices.**

If one side is common in both cubes and it's place is same in both of these dices, then the remaining two sides of respective dices which appear in figure will be the opposite of each other. See figure for understanding this rule.

Using the above rules, you would be able to solve all questions based on Dice and Cubes. However, If still have any doubt or query, feel free to ask by posting comments.

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