**Visualizing Solid Shapes**

**1. Identify the nets which can be used to make cubes (cut out copies of the nets and try it):**

**(i)**

**Solution:-**

The given net cannot be folded as cube.

Because, it can be folded as below,

**(ii)**

**Solution:-**

The given net can be folded as cube.

Because, it can be folded as below,

**(iii)**

**Solution:-**

The given net can be folded as cube.

Because, it can be folded as below,

**(iv)**

**Solution:-**

The given net can be folded as cube.

Because, it can be folded as below,

**(v)**

**Solution:-**

The given net cannot be folded as cube.

Because, it can be folded as below,

**(vi)**

**Solution:-**

The given net can be folded as cube.

Because, it can be folded as below,

**2. Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.**

**Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.**

**Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.**

**Solution:-**

**(i)**

By observing the above figure the sum of the opposite faces is equal to 7.

So, the given net can be folded into a net of dice.

**(ii)**

By observing the above figure the sum of the opposite faces is equal to 7.

So, the given net can be folded into a net of dice.

**3. Can this be a net for a die?**

*Explain your answer.*

**Solution:-**

The given net is folded as dice is shown in figure below,

No, this cannot be a net for a die.

By observing the figure we can say that, one pair of opposite face will have 1 and 4, another pair of opposite face will have 3 and 6 the sum of these two opposite faces are not equal to 7.

**4. Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many are there in the net here?**

*(Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)*

**Solution:-**

In the given net there are 3 faces and it can be completed as shown below,

**5. Match the nets with appropriate solids:**

**Solution:-**

**(a) (ii)**

Because, the net (ii) can be folded as square.

**(b) (iii)**

Because, the net (iii) can be folded as cylinder.

**(c) (iv)**

Because, the net (iv) can be folded as cone.

**(d) (i)**

Because, the net (i) can be folded as pyramid.