Mensuration in Mathematics

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Mensuration is an important topic in mathematics that deals with the study of measurement of length, areas, and volumes of different geometrical shapes like two-dimensional and three-dimensional shapes. It is a part of geometry and it plays a vital role in real life applications. So, moving forward into the formulas of mensuration, let’s discuss what is a 2D shape and what is a 3D shape.

2D shape

The two-dimensional or 2D shape is a shape that is bounded by three or more straight lines in a plane. 2D shapes have only length and breadth. It does not contain height or depth. The measurement unit used for 2D shapes is area and perimeter. The surface occupied by a given closed figure is known as the area “A” and it is measured in unit Square. A continuous line that forms the boundary of the closed geometrical figure is known as perimeter “P” and it is measured in units. For example, a rectangle is a two-dimensional shape, we can measure the area and perimeter of a rectangle.

3D shape

The three-dimensional or 3D shapes are also known as solid shapes that are bounded by a number of surfaces. Unlike 2D shapes, 3D shapes have three-dimensional measures like length, breadth along with the height. The 3D shape is the combination of different 2D shapes and it obtained from the rotation of 2D shapes. We can measure the volume “V” and area like Curved Surface Area(CSA), Total Surface Area(TSA) and Lateral Surface Area(LSA) of the 3D shapes. A volume is a surface occupied by a three-dimensional object and it is measured in cubic units. CSA  is the area of all the curved regions, LSA is the area of all the curved regions and all the flat surfaces excluding base areas and TSA is the area of all the surfaces including the base of a 3D object. An example of 3D shapes is a cube. We can measure volume, CSA. TSA of a cube.

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Learning the mensuration formulas of 2D shapes like the perimeter and area of parallelogram, square, triangle, etc and 3D shapes like the volume of a cone, cylinder, sphere, etc is easy with the help of suitable diagrams. To Learn the mensuration formulas with ease, subscribe to BYJU’S YouTube channel for some interesting tips.

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