7th Class Mental Ability Cube and Dice Cubes and Dice

Cubes and Dice

Category : 7th Class



Cuboid: Cuboid is a uniform solid which has 6 faces, 8 corners and 12 edges.



Cube: Cube is a cuboid which has identical faces.



Dice: A dice is a cube whose each face contains dots or numbers from 1 to 6.






1.  Count the number of cubes in the given figure.


(a) 8                              (b) 10                            (c) 12                            (d) 16


Explanation (b):

Number of cubes in the bottom layer = 6

Number of cubes in the middle layer = 3

Number of cubes in the topmost layer = 1

 Total number of cubes

So, the correct option is (b).



2.  Study the two positions of a dice given below. What number will be opposite to the face bearing number 2?


(a) 4                              (b) 3                              (c) 6                              (d) 5


Explanation (d):

First figure shows that faces bearing 1 and 3 are adjacent faces of the face bearing 2. So they cannot be opposite to 2.

From second figure:

3 is on the top. So 2 cannot be at the bottom.

1 is at the front. So 2 cannot be at the back.

Clearly, only one face of this (2nd figure) dice is remaining. Hence it must be 2.

Therefore, 5 is opposite to 2.

So, the correct option is (d).



3.  The sheet of paper shown in the fig. (X), is folded to form a box. Choose box(es) from the options, that is similar to the box(es) that are formed.


       (a) 2 and 3 only              (b) 1, 3 and 4 only          (c) 1, 2 and 3 only          (d) 1 and 4 only


Explanation (c):

After folding the fig. (X), we get the box whose opposite faces are:

No rotation of the box is formed appears as shown in the figure 4.

So, the correct option is (c).

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