NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes

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Written by Team Trustudies
Updated at 2021-02-11


NCERT solutions for class 7 Maths Chapter 15 Visualising Solid Shapes Exercise 15.1

Q.1 Identify the nets which can be used to make cubes (Cut out copies of the nets and try it):



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

Fig. (ii), (iii), (iv) and (vi) can be used to make cubes.

Q.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.

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



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

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



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

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.

Q. 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 Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

Q.5 Match the nets with appropriate solids:



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

(a) (ii)
(b) (iii)
(c) (iv)
(d) (i)

NCERT solutions for class 7 Maths Chapter 15 Visualising Solid Shapes Exercise 15.2

Q.1 Use isometric dot paper and make an isometric sketch for each one of the given shapes:



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

Q.2 The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid.



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

Q.3 Three cubes with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or isometric sketch of this cuboid.



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

Q.4 Make an oblique sketch for each one of the given isometric shapes:



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

Q.5 Give (i) an oblique sketch and (ii) an isometric sketch for each of the following:
(?) A cuboid of dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)
(b) A cube with an edge 4 cm long. An isometric sheet is attached at the end of the book. You could try to make on it some cubes or cuboids of dimensions specified by your friend.



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

NCERT solutions for class 7 Maths Chapter 15 Visualising Solid Shapes Exercise 15.3

Q.1 What cross-sections do you get when you give a (i) vertical cut
(ii) horizontal cut to the following solids?
(a) A brick
(b) A round apple
(c) A die
(d) A circular pipe
(e) An ice cream cone.



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

NCERT solutions for class 7 Maths Chapter 15 Visualising Solid Shapes Exercise 15.4

Q.1 A bulb is kept burning just right above the following solids. Name the shape of the shadows obtained in each case. Attempt to give a rough sketch of the shadow. (You may try to experiment first and then answer these questions).



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

(a) circle
(b) rectangle
(c) rectangle

Q.2 Here are the shadows of some 3-D objects, when seen under the lamp of an overhead projector. Identify the solid(s) that match each shadow. (There may be multiple answers for these!)



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

(i) sphare
(ii) cube
(iii) pyramid
(iv) cuboid

Q.3 Examine if the following are true statements:
(i) The cube can cast a shadow in the shape of a rectangle.
(ii) The cube can cast a shadow in the shape of a hexagon.



NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes


Answer :

(i) true
(ii) false



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