Sponsor Area

Visualizing Solid Shapes

Question
CBSEENMA7001049

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

Solution

(i)The given net can be folded as follows. wiredfaculty.com

When the faces that are in sky blue colour and in pink colour are folded to make a cube, they will be overlapping each other.

(ii) The given net can be folded as follows.

 wiredfaculty.com

A cube can thus be formed in the above way.

(iii) The given net can be folded as follows.

 wiredfaculty.com

A cube can thus be formed in the above way.

(iv) The given net can be folded as follows.

 wiredfaculty.com

A cube can thus be formed in the above way.

(v) The given net can be folded as follows.

 wiredfaculty.com

When the faces that are in blue colour and in red colour are folded to make a cube, they will be overlapping each other.

(vi) The given net can be folded as follows.

 wiredfaculty.com

A cube can thus be formed in the above way.

Question
CBSEENMA7001050

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

wiredfaculty.com

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

 wiredfaculty.com

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

Solution

(i) The numbers can be inserted as follows so as to make the given net into a net of a dice.

 wiredfaculty.com

It can be observed that the sum of the opposite faces is 7.

(ii)The numbers can be inserted as follows so as to make the given net into a net of a dice.

 wiredfaculty.com

It can be observed that the sum of the opposite faces is 7.

Question
CBSEENMA7001051

Can this be a net for a die?

Explain you answer

 wiredfaculty.com

Solution

The given net can be folded as follows.

 wiredfaculty.com

It can be observed that the opposite faces of the dice so formed have 2 and 5, 1 and 4, 3 and 6 on them. The sum of the numbers on the opposite faces comes to 7, 5, 9 respectively. However, in case of a dice, the sum of the numbers on the opposite faces should be 7. Hence, this net is not of a dice.

Question
CBSEENMA7001052

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.) wiredfaculty.com

Solution

There are 3 faces in the given net. The given net can be completed as follows.

 wiredfaculty.com  wiredfaculty.com