Volume of Cubes and Cuboids from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
To find the volume of a cube, we simply raise the length of one of its sides to the power of 3. This means that the volume of a cube is given by the formula V = s^3, where 's' represents the length of one side of the cube. For example, if the side of a cube measures 4 cm, then its volume would be 4^3 = 64 cubic centimeters. On the other hand, a cuboid is a three-dimensional shape that consists of six rectangular faces. To calculate the volume of a cuboid, we multiply its length, width, and height. The formula for finding the volume of a cuboid is V = l x b x h, where 'l' is the length, 'b' is the breadth, and 'h' is the height of the cuboid. For instance, if a cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm, its volume would be 5 x 3 x 2 = 30 cubic centimeters. When dealing with cubes and cuboids, it is essential to ensure that all measurements are in the same unit of measurement. This is crucial for accurate calculations and to avoid any confusion in the final result. Additionally, it is important to pay attention to the units when expressing the volume of a cube or cuboid – the volume is always given in cubic units, such as cubic centimeters or cubic meters. In real-life scenarios, understanding the concept of volume for cubes and cuboids is useful for various applications. For instance, when packing boxes in a warehouse, knowing the volume of each box (which can be represented as a cuboid) helps in efficient space utilization. Similarly, when constructing buildings, calculating the volume of materials required (such as concrete for a foundation – represented by a cuboid) is essential for cost estimation and planning.- Mastering the concept of finding the volume of cubes and cuboids is fundamental in mathematics and has practical applications in various fields. By understanding the formulas and principles behind calculating volume, one can solve problems related to these three-dimensional shapes with ease and accuracy.
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