**Category : **8th Class

**Cuboid:**

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

**Cube:**

Cube is a cuboid which has 6 identical faces.

**Dice:**

A dice is a cube whose each face bears points or numbers from 1 to 6.

**EXAMPLE**

**Count the number of cubes in the following figure.**

(a) 28 (b) 32

(c) 36 (d) 40

**Explanation (a) :**

Number of cubes in the bottom layer = 5

Number of cubes in the next layer = 8.

Number of cubes in the next layer = 9

Number of cubes in the topmost layer = 6

\[\therefore \] Total number of cubes =5+8+9+6= 28

**2. Here two positions of a dice are shown. If there are four dots in the bottom, then how many dots will be on the top?**

(a) 2 (b) 3

(c) 5 (d) 6

**Explanation (b) : **

A student requires here the number of points opposite four points.

Four points are showing in both the positions of dice.

So none of 1 point, 2 points, 5 points and 6 points is opposite to 4 points.

Therefore the required number of points is 3.

So the correct option is (b).

**3. A solid cube of each side 8 cm has been painted on all the faces. It is then cut into cubical blocks of each side 2 cm. How many cubes have only two faces painted?**

(a) 4 (b) 8

(c) 24 (d) 32

**Explanation (c): **

Number of cubes each having only two faces painted are on each 12 edges.

Therefore number of cubes having two faces painted is 24.

**4. The sheet of paper shown in the figure (X). Choose a box from the four options that is similar to the box that formed.**

(a) (b)

(c) (d)

**Explanation (d):**

Opposite pair of faces are:

after folding the sheet, we get a box as shown in option (d).

*play_arrow*Cubes and Dice

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