Unlocking the Power of Mensuration: Common Formulas for Solving Geometric Problems
Unlocking the Power of Mensuration: Common Formulas for Solving Geometric Problems
One of the most fundamental concepts in mensuration is the calculation of area. The area of a shape is the amount of space it occupies in a twodimensional plane. The formula for the area of a rectangle is length x width, while the area of a square is side x side. The area of a triangle is calculated as 1/2 x base x height, while the area of a circle is given by the formula Ï€ x radius^2.
Perimeter is another important concept in mensuration. The perimeter of a shape is the total distance around its boundary. For a rectangle, the perimeter is calculated as 2 x (length + width), while for a square it is 4 x side. The perimeter of a triangle is the sum of the lengths of all three sides.
In threedimensional shapes, volume and surface area are important measurements. The volume of a shape is the amount of space it occupies in a threedimensional space. The formula for the volume of a cube is side x side x side, while the volume of a rectangular prism is length x width x height. The volume of a cylinder is Ï€ x radius^2 x height.
Surface area is the measurement of the area of the surface of a threedimensional shape. The surface area of a cube is 6 x side^2, while the surface area of a rectangular prism is 2 x (length x width + length x height + width x height). The surface area of a cylinder is 2Ï€ x radius x height + 2Ï€ x radius^2.
Mensuration is a useful tool in many different fields. In construction, it is used to calculate the amount of materials needed to build a structure. In architecture, it is used to design and plan buildings. In engineering, it is used to calculate the dimensions of different parts of a machine. And in science, it is used to calculate the volumes and surface areas of different objects.
In conclusion, mensuration is a branch of mathematics that deals with the measurement of geometric shapes. It is a useful tool in many different fields and is based on fundamental formulas for calculating length, area, volume, and surface area of different shapes.

Algebra

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