Recognition of 3D Shapes Solids Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-20 Solutions. We provide step by step Solutions of Exercise / lesson-20 Recognition of 3D Shapes (Solids) for ICSE Class-6 RS Aggarwal Mathematics.
Our Solutions contain all type Questions with Exe-20 A and Exe-20 B with Notes on 3D Shapes Solids to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.
| Board | ICSE |
| Publications | Goyal brothers Prakshan |
| Subject | Maths |
| Class | 6th |
| Chapter-20 | Recognition of 3D Shapes Solids |
| Writer | RS Aggrawal |
| Book Name | Foundation |
| Topics | Solution of Exe-20 A and Exe-20 B |
| Academic Session | 2021-2022 |
Recognition of 3D Shapes Solids Class-6 RS Aggarwal ICSE Maths GoyalBrothers Prakashan Chapter-20 Solutions
–: Select Topics :–
What are Three-Dimensional Shapes?
Shapes which can be measured in 3 directions are called three-dimensional shapes. These shapes are also called solids. Length, width, and height (or depth or thickness) are the three measurements of the three-dimensional shapes. These are the part of three-dimensional geometry. They are different from 2D shapes because they have thickness.
Faces, Edges, and Vertices of 3D Shapes
Three-dimensional shapes have many attributes, such as vertices, faces, and edges. The flat surfaces of the 3D shapes are called the faces. The line segment where two faces meet is called an edge. A vertex is a point where three edges meet.
cube
A cube is a solid or three-dimensional shape which has 6 square faces. The cube has the following properties.
- All edges are equal
- 8 vertices
- 12 edges
- 6 faces
cuboid
A cuboid also called a rectangular prism, where the faces of the cuboid are a rectangle in shape. All the angle measures 90 degrees. The cuboid has
- 8 vertices
- 12 edges
- 6 faces
pyramid
A pyramid a solid shape, whose outer faces are triangular and meet to a single point on the top. The pyramid base can be of any shape such as triangular, square, quadrilateral or in the shape of any polygon. The most commonly used type of a pyramid is the square pyramid, i.e., it has a square base and four triangular faces. Consider a square pyramid, it has
- 5 vertices
- 8 edges
- 5 faces
Nets for building 3-D shapes
A two-dimensional shape that can be folded to form a three-dimensional shape or a solid is referred to as a geometry net. When the surface of a three-dimensional shape is laid out flat showing each face of the shape, the obtained pattern is called a net. A solid may have different nets. In simple words, net is an unfolded form of a 3D figure.
Exe-20 A,
Recognition of 3D Shapes Solids Class-6 RS Aggarwal ICSE Maths Goyal
Page 238
Question 1:
Complete the following table by filling the number of faces, the number of edge and the number of vertices for the given solid :
Answer 1:
Question 2:
Fill in the blanks:
(i) Two adjacent faces of a cuboid meet in a line segment called a/an …………. f the cuboid.
(ii) A triangular prism has …………… triangular faces.
(iii) A square pyramid has ………………. triangular faces.
(iv) The six lateral faces of a hexagonal prism are……………..
(v)The triangular pyramid is also known as………………
(vi) A cuboid has……………. pairs of opposite faces.
Answer 2:
(i) Two adjacent faces of a cuboid meet in a line segment called an edge of the cuboid.
(ii) A triangular prism has 2 triangular faces.
(iii) A square pyramid has 4 triangular faces.
(iv) The six lateral faces of a hexagonal prism are rectangular.
(v) The triangular pyramid is also known as tetrahedron.
(vi) A cuboid has 3 pairs of opposite faces.
Question 3:
Which of the following solids has the highest number of vertices ?
(i) Cuboid
(ii) Triangular Prism
(iii) Triangular Pyramid
(iv) Square Pyramid
Answer 3:
(i) Cuboid. It has 8 vertices.
Question 4:
In which of the following solids, all the lateral faces are not triangular ?
(i) Triangular Pyramid
(ii) Triangular Prism
(iii) Square Pyramid
(iv) Pentagonal Pyramid
Answer 4:
(i) Triangular prism.
Question 5:
In which of the following solids, none of the faces is triangular ?
(i) Triangular Prism
(ii) Square Pyramid
(iii) Pentagonal Pyramid
(iv) Hexagonal Prism
Answer 5:
(iv) Hexagonal prism.
Exe-20 B,
Recognition of 3D Shapes Solids Class-6 RS Aggarwal ICSE Maths Goyal
Page 242-245
Question 1:
Which of the following is not a net for a cube ?
Answer 1:
Question 2:
Which of the following is a net for a cube ?
Answer 2:
Question 3:
Which of the following is a net for a cylinder ?
Answer 3:
Question 4:
Which of the following is not a net for a cuboid ?
Answer 4:
Question 5:
Which of the following is not a net for a cuboid X ?
Answer 5:
Question 6:
Which of the following is not a net for any polyhedron ?
Answer 6:
Question 7:
Which of the following is not a net for square pyramid ?
Answer 7:
Question 8:
Which of the following is not a net for a pentagonal prism ?
Answer 8:
Question 9:
Which of the following is not a net for a pentagonal pyramid ?
Answer 9:
Question 10:
Identify the 3D-shap represented by the following nets :
Answer 10:
(i) Rectangular Pyramid
(ii) Octahedron
(iii) Triangular Prism
(iv) Square Pyramid
(v) Cuboid
–: End of Recognition of 3D Shapes Solids Class-6 RS Aggarwal Solutions :–
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