Dice
Introduction:
Dice is a cube. In cube there are 6 faces. Some
important points are given below:
1. There are 6 faces in the cube -
ABCG, GCDE, DEFH, BCDH, AGEF and ABHF.
2. Always four faces are adjacent to
one face.
3. Opposite of ABCG is DEFH and so
on.
4. CDEG is the upper face of the
cube.
5. ABHF is the bottom of the cube.
There are certain rules with the help of these
rules question on dice can easily determined.
Rule No.
1:
Two opposite faces cannot be adjacent to one
another.
Example:
Two different positions of a dice are shown below.
Which number will appear on the face opposite to the face with number 4?
Solution:
Faces with four numbers 6, 2, 5 and 3 are adjacent
of to the face with No. 4.
Hence the faces with no. 6, 2, 5 and 3 cannot be
opposite to the face with no. 4.
Therefore the remaining face with no.1 will be the
opposite of the face with no. 4.
Rule No.
2:
If two different positions of a dice are shown and
one of the two common faces is in the same position then of the remaining faces
will be opposite to each other.
Example:
Two different positions of a dice are shown below.
Here in both shown positions two faces 5 and 3 are
common.
The remaining faces are 2 and 4.
Hence the number on the face opposite to the face
with number 2 is 4.
Rule No.
3:
If in two different positions of dice, the position
of a common face be the same, then each of the opposite faces of the remaining
faces will be in the same position.
Example:
Here in both positions of common (3) is same.
Therefore, opposite of 5 is 6 and opposite of 4 is
2.
Rule No.
4:
If in two different positions of a dice, the
position of the common face be not the same, then opposite face of the common
face will be that which is not shown on any face in these two positions.
Besides, the opposite faces of the remaining faces will not be the same.
Example:
Here in two positions of a dice the face with
number 1 is not in the same position.
The face with number 6 is not shown.
Hence the face opposite to the face with number 1
is 6.
Besides the opposite face of 3 will be the face
with number 2 and opposite face to face 5 will be the face with number 1.