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
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
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
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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