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

CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Ex 15.1 Textbook Questions and Answers are provided by experts in order to help students secure good marks in exams.

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

Question 1.
Identify the nets which can be used to make cubes (cut out copies of the nets and try them):
(i)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 164
(ii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 165
(iii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 166
(iv)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 167
(v)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 169
(vi)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 170
Solution:
Cube’s nets are (ii), (iii), (iv) and (vi).

Question 2.
Dice are cubes with dots on each face. Opposite faces of a die always have a total of seven dots on them.
NCERT Solutions for Class 7 maths Algebraic Expreesions img 171
Here are two nets to make dice (cubes); the numbers inserted in each square indicate the number of dots in that box.
(i)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 172
(ii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 173
Insert suitable numbers in the blanks, remembering that the number on the opposite faces should total 7.
Solution:
According to the given condition, that opposite faces of a die always have a total of 7 dots on them, we insert the suitable numbers in the blanks as follows:
(i)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 174
(ii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 175

Question 3.
Can this be a net for a die? Explain your answer.
NCERT Solutions for Class 7 maths Algebraic Expreesions img 176
Solution:
No; Because one pair of opposite faces will have 1 and 4 on them whose total is not 7 and another pair of opposite faces will have 3 and 6 on them whose total is also not 7.

Question 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 on the net here? (Give two-separate diagrams. If you like, you may use a squared sheet for easy manipulation.)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 177
Solution:
A cube has six faces, so the complete net for making a cube in at least two different ways are as follows :
(i)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 178
(ii)
NCERT Solutions for Class 7 maths Algebraic Expreesions img 179

Question 5.
Match the nets with appropriate solids:
NCERT Solutions for Class 7 maths Algebraic Expreesions img 180
Solution:
After matching the nets with appropriate solids, we get the following pairs:
(a) – (ii)
(b) – (iii)
(c) – (iv)
(d) – (i)

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