Table of Contents
Students may download the NCERT Exemplar Solutions for Class 7 Maths Chapter 15 PDF from Infinity Learn’s official website. The fundamentals of drawing 3-D figures are explained in Chapter 12 of Practical Geometry Symmetry & Visualising Solid Shapes for Class 7 according to the NCERT syllabus.
It also explains how to recognize and count vertices, edges, and faces. This is the fundamental principle of solid shape visualization and how we might apply it in our daily lives. On Infinity Learn.com, you may register for NCERT Exemplar Solutions Class 7 Science tuition to improve your chances of passing the CBSE board test.
To prepare for their upcoming exams, students can also obtain NCERT Solution PDF for all courses. We guarantee that we will provide you with the greatest possible advice and direction.
In our environment, solid shapes or figures are fairly common. Laptops, mobile phones, computers, ice cream cones, tin cans, and a variety of other items all include solid shapes. The dimensions of these solid shapes are length, width, and height.
NCERT Exemplar Class 7 Maths Book PDF Download Chapter 12
Multiple Choice Questions (MCQs)
Question 1: A triangle can be constructed by taking its sides as
(a) 1.8 cm, 2.6 cm, 4.4 cm
(b) 2 cm, 3 cm, 4 cm
(c) 2.4 cm, 2.4 cm, 6.4 cm
(d) 3.2 cm, 2.3 cm, 5.5 cm
Solution:
(b) Triangle can be constructed only if they satisfy the given condition. Sum of two sides > Third side Clearly, only option (b) satisfies the given condition.
(2 + 3)cm > 4 cm i.e. 5 cm > 4 cm
Question 2: A triangle can be constructed by taking two of its angles as
(a) 110°, 40°
(b) 70°, 115°
(c) 135°, 45°
(d) 90°, 90°
Solution:
(a) We know that, the sum of all the angles of a triangle is equal to 180°. So, sum of any two angles of a triangle should be less than 180°.
110°+ 40° = 150° i.e. less than 180°.
70° + 115° = 185° i.e. greater than 180°.
135° + 45°= 180° i.e. equal to 180°.
90° + 90°= 180° i.e. equal to 180°.
Hence, (a) is the correct option.
Question 3: The number of lines of symmetry in the figure given below is
(a) 4
(b) 8
(c) 6
(d) infinitely many
Solution: (c) given figure has 6 lines of symmetry.
Question 4: The number of lines of symmetry in the figure given below is
(a) 1 (b) 3 (c) 6 (d) infinitely many
Solution: (b) The given figure has 3 lines of symmetry.
Question 5: The order of rotational symmetry in the figure given below is
(a) 4 (b) 8 (c) 6 (d) infinitely many
Solution: (c) Since, the number of times a figure fits onto itself in one full turn is called order of rotational symmetry.
Therefore, the given figure has rotational symmetry of order 6.
Question 6: The order of rotational symmetry in the figure given below is
(a) 4 (b) 2 (c) 1 (d) infinitely many
Solution: (b) Since, the number of times a figure fits onto itself in one full turn is called order of rotational symmetry.
So, the given figure has rotational symmetry of order 2.
Question 7: The name of the given solid in the figure is
(a) triangular pyramid
(b) rectangular pyramid
(c) rectangular prism
(d) triangular prism
Solution: (b) it is a combination of rectangle and pyramid. Hence, (b) is the correct option.
Question 8: The name of the solid in figure is
(a) triangular pyramid (b) rectangular prism
(c) triangular prism (d) rectangular pyramid
Solution: (c) It is a combination of triangle and prism. Hence, (c) is the correct option.
Question 9: All faces of a pyramid are always
(a) triangular (b) rectangular (c) congruent (d) None of these
Solution: (d) The faces of a pyramid can be triangular and rectangular. Hence, (d) is the correct option.
Question 10: A solid that has only one vertex is
(a) pyramid (b) cube (c) cone (d) cylinder
Solution: (c) The cone is the shape, that has only one vertex. Hence, (c) is the correct option.
Question 11: Out of the following which is a 3-D figure?
(a) Square (b) Sphere (c) Triangle (d) Circle
Solution: (b) Square, triangle and circle are 2-D figures while sphere is the 3-D figure. Hence, (b) is the correct option.
Question 12: Total number of edges a cylinder has
(a) 0 (b) 1
(c) 2 (d) 3
Solution: (c) The cylinder has 2 edges. Hence, (c) is the correct option.
Question 13: A solid that has two opposite identical faces and other faces as parallelograms is a
(a) prism (b) pyramid
(c) cone (d) sphere
Solution: (a) Prism has two opposite identical faces and other faces as parallelograms.
Question 14: The solid with one circular face, one curved surface and one vertex is known as
(a) cone (b) sphere
(c) cylinder (d) prism
Solution: (a) Cone has one circular face, one curved surface and one vertex.
Question 15: If three cubes each of edge 4 cm are placed end to end, then the dimensions of resulting solid are
(a) 12 cm x 4 cm x 4 cm (b) 4 cm x 8 cm x 4 cm
(c) 4 cm x 8 cm x 12 cm (d) 4 cm x 6 cm x 8 cm
Solution: (a) If the three cubes are placed end to end that means length is increased. The new cuboid having dimensions 12cmx4cmx4cm Hence, (a) is the correct option.
Question 16: When we cut a corner of a cube as shown in the figure, we get the cutout piece as
(a) square pyramid (b) trapezium prism
(c) triangular pyramid (d) a triangle
Solution: (c) If we cut a corner of a cube, then we get cut-out of a piece in the form of triangular pyramid.
More Resources for class 7
- NCERT Solutions for Class 7
- NCERT Solutions for Class 7 Maths
- NCERT Solutions for Class 7 Science
- NCERT Solutions for Class 7 Social Science
- NCERT Solutions for Class 7 English
Question 17: If we rotate a right-angled triangle of height 5 cm and base 3 cm about its height a full turn, we get
(a) cone of height 5 cm, base 3 cm
(b) triangle of height 5 cm, base 3 cm
(c) cone of height 5 cm, base 6 cm
(d) triangle of height 5 cm, base 6 cm
Solution: (a) If we rotate a right-angled triangle of height 5 cm and base 3 cm about its height a full turn, then we get a cone of height 5 cm and base 3 cm.
Question 18: If we rotate a right-angled triangle of height 5 cm and base 3 cm about its base/we get
(a) cone of height 3 cm and base 3 cm
(b) cone of height 5 cm and base 5 cm
(c) cone of height 5 cm and base 3 cm
(d) cone of height 3 cm and base 5 cm
Solution: (d) If we rotate a right-angled triangle of height 5 cm and base 3 cm about its base, we get a cone of height 3 cm and base 5 cm.
Question 19: When a torch is pointed towards one of the vertical edges of a cube you get a shadow of cube in the shape of
(a) square (b) rectangle but not a square
(c) circle (d) triangle
Solution: (b) When a torch is pointed towards one of the vertical edges of a cube, you get a shadow of cube in the shape of rectangle but not a square.
Question 20: Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle?
(a) 3 cm, 4 cm, 6 cm (b) 9 cm, 16 cm, 26 cm
(c) 1.5 cm, 3.6 cm, 3.9 cm (d) 7 cm, 24 cm, 26 cm
Solution: (c) The sides of right-angled triangle must satisfy Pythagoras theorem. (Hypotenuse)2 = (Base)2 + (Perpendicular)2
Note: Hypotenuse is the largest side of all the sides. So, check all options by putting the values in above formula.
Let us check all the options.
(a) (6)2 = (3)2 + (4)2
36=9+16
36 ≠ 25
(b) (26)2 = (16)2 + (9)2 = 676
= 256 + 81
676 ≠ 337
(c) (3.9)2 = (1.5)2 + (3.6)2 = 15.21
= 2.25+12.96
=15.21 = 15.21 (satisfied)
(d) (26)2 = (7)2 + (24)2
= 676 = 49+576
=676 ≠ 625
Clearly, option (c) is correct.
