NCERT Solutions Class 7 Maths Chapter 15 Visualising Solid Shapes Ex 15.1

NCERT Solutions Class 7 Mathematics 
Chapter – 15 (Visualising Solid Shapes)

The NCERT Solutions in English Language for Class 7 Mathematics Chapter – 15 Visualising Solid Shapes Exercise 15.1 has been provided here to help the students in solving the questions from this exercise. 

Chapter : 15 Visualising Solid Shapes

Exercise – 15.1

1. Identify the nets which can be used to make cubes (cut out copies of the nets and try it):
NCERT Class 7 Maths Solution
Solution –

(i) The given net cannot be folded as cube.
(ii) The given net can be folded as cube.
(iii) The given net can be folded as cube.
(iv) The given net can be folded as cube.
(v) The given net cannot be folded as cube.
(vi) The given net can be folded as cube.

2. Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.
NCERT Class 7 Maths Solution

Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.
NCERT Class 7 Maths Solution
Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total to 7.
Solution –

(i)
NCERT Class 7 Maths Solution
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)
NCERT Class 7 Maths Solution
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.
NCERT Class 7 Maths Solution

Solution –

If one pair of opposite faces will have 1 and 4 on them, then their total does not come 7.
If we take 3 and 6 on the opposite faces of the die, then the total does not come 7.
Hence, this cannot be for a die.

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.)
NCERT Class 7 Maths Solution

Solution – In the given net there are 3 faces and it can be completed as shown below,
NCERT Class 7 Maths Solution

5. Match the nets with appropriate solids:
NCERT Class 7 Maths Solution

Solution –

NCERT Class 7 Maths Solution

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