Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids

Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids

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Recognition of Solids Exercise 31 – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Identify the nets which can be used to form cubes :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 1
Solution:
Nets for a cube are (ii), (iii) and (iv).

Question 2.
Draw at least three different nets for making cube.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 2

Question 3.
The dimensions of a cuboid are 6 cm, 4 cm and 3 cm. Draw two different types of oblique sketches for this cuboid.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 3

Question 4.
Two cubes, each with 3 cm edge, are placed side by side to form a cuboid. For this cuboid, draw :
(i) an oblique sketch
(ii) an isometric sketch.

Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 4
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 5

Question 5.
The figure, given below, shows shadows of some 3D objects, when seen under the lamp of an overhead projector :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 6
In each case, name the object.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 7

Question 6.
Look at the solids, drawn below, and fill the given chart.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 8
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 9
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 10

P. Q. Using Euler’s formula, find the values of a, b, c and d.
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Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 12
(i) a + 6 — 12 = 2 ⇒a = 2- 6+12 = 14-6 = 8
(ii) b + 5- 9 = 2 ⇒b-2 + 9-5 = 6
(iii) 20 + 12 – c = 2 ⇒ 32 – c = 2 ⇒ c = 32 – 2 ⇒ c = 30
(iv) 6 + d – 12 = 2⇒ d-6 = 2 ⇒ d = 2 + 6 = 8

P.Q. Using an isometric dot paper, draw :
(i) a cube with each edge 3 cm.
(ii) a cuboid measuring 5 cm x 4 cm x 3 cm.

Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 13
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 14

Question 7.
Dice are cubes with dot or dots on each face. Opposite faces of a die always have a total of seven on them.
Below are given two nets to make dice (cube), the numbers inserted in each square indicate the number of dots in it.
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Insert suitable numbers in each blank so that numbers in opposite faces of the die have a total of seven dots.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 16

Question 8.
The following figure represents mets of some solids. Name the solids.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 31 Recognition of Solids image - 17
Solution:
The given nets are of the solid as given below :
(i) Tetrahedron
(ii) Triangular prism
(iii) Cube
(iv) Cuboid

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