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.

**EXAMPLE**

**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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