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Chapter 13: Visualising Solid Shapes

    Introduction: Plane Figures and Solid Shapes

    Faces, Edges and Vertices

    Nets for Building 3-D Shapes

    Drawing Solids on a Flat Surface

    Viewing Different Sections of a Solid

    Exercise 13.1

    Exercise 13.2

    Exercise 13.3

    Exercise 13.4

    What Have We Discussed?

    Extra Curriculum Support

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Chapter 13: Visualising Solid Shapes > Exercise 13.1

Exercise 13.1

Identify the nets which can be used to make cubes:

You might be aware what a dice looks like. They are cubes with a different number of dots on each face. The numbers of dots range from 1-6. The arrangement of the dots is such that the opposite faces of the die always have a total sum of seven dots on them.

Dice

Below we have two nets that make a cube aka a dice. The numbers inserted in each square indicate the number of dots on that particular face. Now, insert the suitable numbers for the faces having variable alphabets (A,B,C,P,Q,R) on them keeping in mind, that the sum for the opposite numbers should add upto 7.

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.

Can this be a net for a die? Explain your answer.

Instruction

To Form a Cube, all opposite faces should have sum .
Here, 1 & 4 will form opposite face, Whose sum is .
Also, 3 & 6 will form opposite faces, sum is .
Since opposite faces do not have sum 7, this net be a die.

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.)

Instruction

Cube
Not a Cube

Match the nets with appropriate solids.

Instruction