Page 1 VISUALISING SOLID SHAPES 153 DO THIS 10.1 Introduction In Class VII, you have learnt about plane shapes and solid shapes. Plane shapes have two measurements like length and breadth and therefore they are called two-dimensional shapes whereas a solid object has three measurements like length, breadth, height or depth. Hence, they are called three-dimensional shapes. Also, a solid object occupies some space. T wo-dimensional and three-dimensional figures can also be briefly named as 2-D and 3- D figures. Y ou may recall that triangle, rectangle, circle etc., are 2-D figures while cubes, cylinders, cones, spheres etc. are three-dimensional figures. Match the following: (First one is done for you) Shape Type of Shape Name of the shape 3-dimensional Sphere 2-Dimensional Cylinder 3-dimensional Square 2-dimensional Circle Visualising Solid Shapes CHAPTER 10 Page 2 VISUALISING SOLID SHAPES 153 DO THIS 10.1 Introduction In Class VII, you have learnt about plane shapes and solid shapes. Plane shapes have two measurements like length and breadth and therefore they are called two-dimensional shapes whereas a solid object has three measurements like length, breadth, height or depth. Hence, they are called three-dimensional shapes. Also, a solid object occupies some space. T wo-dimensional and three-dimensional figures can also be briefly named as 2-D and 3- D figures. Y ou may recall that triangle, rectangle, circle etc., are 2-D figures while cubes, cylinders, cones, spheres etc. are three-dimensional figures. Match the following: (First one is done for you) Shape Type of Shape Name of the shape 3-dimensional Sphere 2-Dimensional Cylinder 3-dimensional Square 2-dimensional Circle Visualising Solid Shapes CHAPTER 10 154 MATHEMATICS DO THIS Match the following pictures (objects) with their shapes: 3-dimensional Cuboid 3- dimensional Cube 2-dimensional Cone 3-dimensional T riangle Note that all the above shapes are single. However, in our practical life, many a times, we come across combinations of different shapes. For example, look at the following objects. A tent A tin Softy (ice-cream) A cone surmounted A cylinderical shell A cone surmounted by a on a cylinder hemisphere A photoframe A bowl Tomb on a pillar A rectangular path A hemispherical shell Cylinder surmounted by a hemisphere Picture (object) Shape (i) An agricultural field T wo rectangular cross paths inside a rectangular park. Page 3 VISUALISING SOLID SHAPES 153 DO THIS 10.1 Introduction In Class VII, you have learnt about plane shapes and solid shapes. Plane shapes have two measurements like length and breadth and therefore they are called two-dimensional shapes whereas a solid object has three measurements like length, breadth, height or depth. Hence, they are called three-dimensional shapes. Also, a solid object occupies some space. T wo-dimensional and three-dimensional figures can also be briefly named as 2-D and 3- D figures. Y ou may recall that triangle, rectangle, circle etc., are 2-D figures while cubes, cylinders, cones, spheres etc. are three-dimensional figures. Match the following: (First one is done for you) Shape Type of Shape Name of the shape 3-dimensional Sphere 2-Dimensional Cylinder 3-dimensional Square 2-dimensional Circle Visualising Solid Shapes CHAPTER 10 154 MATHEMATICS DO THIS Match the following pictures (objects) with their shapes: 3-dimensional Cuboid 3- dimensional Cube 2-dimensional Cone 3-dimensional T riangle Note that all the above shapes are single. However, in our practical life, many a times, we come across combinations of different shapes. For example, look at the following objects. A tent A tin Softy (ice-cream) A cone surmounted A cylinderical shell A cone surmounted by a on a cylinder hemisphere A photoframe A bowl Tomb on a pillar A rectangular path A hemispherical shell Cylinder surmounted by a hemisphere Picture (object) Shape (i) An agricultural field T wo rectangular cross paths inside a rectangular park. VISUALISING SOLID SHAPES 155 (ii) A groove A circular path around a circular ground. (iii) A toy A triangular field adjoining a square field. (iv) A circular park A cone taken out of a cylinder. (v) A cross path A hemisphere surmounted on a cone. 10.2 Views of 3D-Shapes Y ou have learnt that a 3-dimensional object can look differently from different positions so they can be drawn from different perspectives. For example, a given hut can have the following views. A hut Front view Side view Top view similarly , a glass can have the following views. A glass Side view Top view Why is the top view of the glass a pair of concentric circles? Will the side view appear different if taken from some other direction? Think about this! Now look at the different views of a brick. To p Side Front Page 4 VISUALISING SOLID SHAPES 153 DO THIS 10.1 Introduction In Class VII, you have learnt about plane shapes and solid shapes. Plane shapes have two measurements like length and breadth and therefore they are called two-dimensional shapes whereas a solid object has three measurements like length, breadth, height or depth. Hence, they are called three-dimensional shapes. Also, a solid object occupies some space. T wo-dimensional and three-dimensional figures can also be briefly named as 2-D and 3- D figures. Y ou may recall that triangle, rectangle, circle etc., are 2-D figures while cubes, cylinders, cones, spheres etc. are three-dimensional figures. Match the following: (First one is done for you) Shape Type of Shape Name of the shape 3-dimensional Sphere 2-Dimensional Cylinder 3-dimensional Square 2-dimensional Circle Visualising Solid Shapes CHAPTER 10 154 MATHEMATICS DO THIS Match the following pictures (objects) with their shapes: 3-dimensional Cuboid 3- dimensional Cube 2-dimensional Cone 3-dimensional T riangle Note that all the above shapes are single. However, in our practical life, many a times, we come across combinations of different shapes. For example, look at the following objects. A tent A tin Softy (ice-cream) A cone surmounted A cylinderical shell A cone surmounted by a on a cylinder hemisphere A photoframe A bowl Tomb on a pillar A rectangular path A hemispherical shell Cylinder surmounted by a hemisphere Picture (object) Shape (i) An agricultural field T wo rectangular cross paths inside a rectangular park. VISUALISING SOLID SHAPES 155 (ii) A groove A circular path around a circular ground. (iii) A toy A triangular field adjoining a square field. (iv) A circular park A cone taken out of a cylinder. (v) A cross path A hemisphere surmounted on a cone. 10.2 Views of 3D-Shapes Y ou have learnt that a 3-dimensional object can look differently from different positions so they can be drawn from different perspectives. For example, a given hut can have the following views. A hut Front view Side view Top view similarly , a glass can have the following views. A glass Side view Top view Why is the top view of the glass a pair of concentric circles? Will the side view appear different if taken from some other direction? Think about this! Now look at the different views of a brick. To p Side Front 156 MATHEMATICS DO THIS A brick Front view Side view Top view W e can also get different views of figures made by joining cubes. For example. Solid Side view Front view Top view made of three cubes Solid Top view Front view Side view made of four cubes Solid Side view Front view Top view made of four cubes Observe different things around you from different positions. Discuss with your friends their various views. To p Side Front Side Front To p Front Side To p To p Side Front Page 5 VISUALISING SOLID SHAPES 153 DO THIS 10.1 Introduction In Class VII, you have learnt about plane shapes and solid shapes. Plane shapes have two measurements like length and breadth and therefore they are called two-dimensional shapes whereas a solid object has three measurements like length, breadth, height or depth. Hence, they are called three-dimensional shapes. Also, a solid object occupies some space. T wo-dimensional and three-dimensional figures can also be briefly named as 2-D and 3- D figures. Y ou may recall that triangle, rectangle, circle etc., are 2-D figures while cubes, cylinders, cones, spheres etc. are three-dimensional figures. Match the following: (First one is done for you) Shape Type of Shape Name of the shape 3-dimensional Sphere 2-Dimensional Cylinder 3-dimensional Square 2-dimensional Circle Visualising Solid Shapes CHAPTER 10 154 MATHEMATICS DO THIS Match the following pictures (objects) with their shapes: 3-dimensional Cuboid 3- dimensional Cube 2-dimensional Cone 3-dimensional T riangle Note that all the above shapes are single. However, in our practical life, many a times, we come across combinations of different shapes. For example, look at the following objects. A tent A tin Softy (ice-cream) A cone surmounted A cylinderical shell A cone surmounted by a on a cylinder hemisphere A photoframe A bowl Tomb on a pillar A rectangular path A hemispherical shell Cylinder surmounted by a hemisphere Picture (object) Shape (i) An agricultural field T wo rectangular cross paths inside a rectangular park. VISUALISING SOLID SHAPES 155 (ii) A groove A circular path around a circular ground. (iii) A toy A triangular field adjoining a square field. (iv) A circular park A cone taken out of a cylinder. (v) A cross path A hemisphere surmounted on a cone. 10.2 Views of 3D-Shapes Y ou have learnt that a 3-dimensional object can look differently from different positions so they can be drawn from different perspectives. For example, a given hut can have the following views. A hut Front view Side view Top view similarly , a glass can have the following views. A glass Side view Top view Why is the top view of the glass a pair of concentric circles? Will the side view appear different if taken from some other direction? Think about this! Now look at the different views of a brick. To p Side Front 156 MATHEMATICS DO THIS A brick Front view Side view Top view W e can also get different views of figures made by joining cubes. For example. Solid Side view Front view Top view made of three cubes Solid Top view Front view Side view made of four cubes Solid Side view Front view Top view made of four cubes Observe different things around you from different positions. Discuss with your friends their various views. To p Side Front Side Front To p Front Side To p To p Side Front VISUALISING SOLID SHAPES 157 EXERCISE 10.1 1. For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. The first one is done for you. Object Side view Top view (a) (i) (i) A bottle (b) (ii) (ii) A weight (c) (iii) (iii) A flask (d) (iv) (iv) Cup and Saucer (e) (v) (v) ContainerRead More

215 videos|147 docs|48 tests

### Points to Remember- Visualising Solid Shapes

- Doc | 2 pages
### Test: Visualising Solid Shapes- 1

- Test | 10 ques | 10 min
### Mapping Space Around Us

- Video | 06:25 min
### Test: Visualising Solid Shapes- 2

- Test | 20 ques | 20 min
### Three Dimensional Figures

- Video | 11:55 min
### NCERT Solutions(Part- 1)- Visualising Solid Shapes

- Doc | 1 pages

- Standard Algebraic Identities with Proof
- Video | 13:32 min
- Learning Standard Identities and their Applications
- Video | 05:35 min