Solids become an interesting study topic in mathematics. The study of surface area and volume becomes much more fun when you learn to play with the solid shapes. There are different kinds of variations you can give to the solid shapes in order to solve the problems easily.
In the ncert solutions for class 10th maths chapter 13, you get to understand following kinds of solids.
- Combination of solids
Different solids can be combined together to form a new solid. The variety of combinations of solids is provided to help you practice your concepts. The curved surface area and surface area and be calculated for the complete solid by calculating the values in parts. This means if a solid has curved as well as flat surfaces, then, the total surface area is achievable by adding the area of the curved surface and the Flat surface.
Similarly, you learn to find the solutions for the combination of two cylinders. The surface area and the volume of the hollow cylinder and other complex solids becomes easier with this method.
- Conversion of solids
The conversion of solids is also important to enhance your knowledge of surface area and volume. Any solid, when cut or changes into different types of shapes, contains the same volume. For example, if you cut an apple into three pieces, the volume of the apple and the complete volume of the three pieces stays the same.
However, when it comes to the surface area, the conversion of the shape changes the surface area. This conversion helps you find the volume and the surface area for various problems. You can convert a sphere into various smaller spheres, or cut a big cube into various smaller cubes. The volume relation will help you find the numbers of the obtained cube or the sphere easily.
- Frustum of a cone
The frustum of a cone is achieved by cutting the cone parallel to its base. The solids such as flower pots have the shape of the frustum of a cone. This shape has two radii, the height, and the slant height as well. These values become helpful in finding the total surface area of the shape as well as the volume altogether.
The standard formulae are provided for every general shape in the chapter. You just need to understand the game of playing with the solids in order to attain the desired results. This is the reason why the expert teachers suggest to work on the solid shapes before starting to work on the formulae of the surface area and volume.
With the understanding of the solids, their conversion, and combination, you can discover the ways to find the solutions for complex problems. The study of the chapter gets easier when you know how to arrange the given information. Hence, you need a reliable material for the study of the cbse class 10 maths surface areas and volumes.
Hopefully, this article has helped you understand about the solids.