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

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)

(ii)

(iii)

(iv)

(v)

(vi)

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.

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

(ii)

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)

(ii)

Question 3.
Can this be a net for a die? Explain your answer.

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.)

Solution:
A cube has six faces, so the complete net for making a cube in at least two different ways are as follows :
(i)

(ii)

Question 5.
Match the nets with appropriate solids:

Solution:
After matching the nets with appropriate solids, we get the following pairs:
(a) – (ii)
(b) – (iii)
(c) – (iv)
(d) – (i)