Surface Areas and Volumes of Solids from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
Surface areas and volumes of solids are important concepts in mathematics that deal with calculating the surface area and volume of different solid shapes such as cubes, cuboids, cylinders, cones, and spheres. When we talk about the surface area of a solid, we are referring to the total area that covers the outer part of the solid. The surface area is calculated by adding up the areas of all the individual faces of the solid. For example, in the case of a cube, the surface area would be the sum of the areas of all six faces of the cube. On the other hand, the volume of a solid refers to the amount of space that the solid occupies. It is calculated by finding the total cubic units enclosed by the solid. For instance, in the case of a cuboid, the volume would be calculated by multiplying the length, width, and height of the cuboid. To calculate the surface area and volume of different solids, we use specific formulas that are derived based on the properties of each shape. For instance, the formula for finding the surface area of a cylinder is different from the formula for finding the surface area of a cone. In order to solve problems related to surface areas and volumes of solids, it is important to understand the properties of each shape and how they are related to the formulas used for calculation. By applying these formulas correctly, we can accurately determine the surface area and volume of various solids.- Surface areas and volumes of solids play a crucial role in mathematics and are used in various real-life applications such as architecture, engineering, and manufacturing. By mastering these concepts, we can better understand the shapes and sizes of different objects in our world.
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