# Mensuration Formula:

At first, let us know about Mensuration. It is a branch of mathematics which deals with the measurement of several parameters such as length, breadth, perimeter, area and volume of 2-dimensional and 3-dimensional objects. Mensuration formula for class 6, 7, 8, 9, 10 contains data of lines and angles for measurement of several parameters. Generally, it is used for geometrical figures where there is a need to find out dimensions, perimeter, area, volume and several other physical quantities.

Perimeter: It is the path surrounding the object’s area. We can also say that the length of boundary of an object is its perimeter. It is simply the addition of length so it has no powered units. Simply its unit is in m (metre), cm (centimetre), km (kilo-metre) etc. Mensuration formula for perimeter is different for different figures.

Area: It is the surface occupied by the 2-dimensional body. We can also define the area as that surface of object in a plane closed within a boundary. Millions of lines in a plane coexist to form an area so Its unit is squared as we multiply length to lengths. Its units are cm2, m2, km2 etc. The mensuration formula for area is different for different geometrical bodies.

Volume: It is the space occupied by any three-dimensional body within its surface boundary. How much Space it occupies includes several dimensions such as length, breadth, height. So its unit is always expressed in cubic units as cm3, m3, km3etc.

## List of all the necessary mensuration formula orderly:

 2D figures Figures Formula Triangle Perimeter= Sum of all sidesArea = 1/2 b x h Area = $$\sqrt{s(s-a)(s-b)(s-c)}$$ a, b, c are sides of triangle. Where s=$$\frac{a+b+c}{2}$$ Area=$$\frac{1}{2}$$ (bxh) Equilateral Triangle Perimeter= 3xSide Area = $$\frac{\sqrt{3}}{4}$$ (side)2 Square Perimeter: 4 x side Area: (side)2 Rectangle Perimeter= 2(length + breadth) Area= length x breadth Parallelogram Perimeter= 2(1st side + 2nd side) Area= base x height Rhombus Perimeter= 4 x side Area= $$\frac{1}{2}$$ D1 x D2 Trapezium Perimeter= sum of all sides Area= $$\frac{1}{2}$$ (sum of parallel sides)x altitude Circle Circumference= 2πr Area= πr2 (where r is radius) Semicircle semi circle Perimeter= πr+2r Area=$$\frac{1}{2}$$πr2

## Mensuration formula for 3-D figures:

 3 D figures Formula Cuboid Surface Area: 2(lb+bh+lh) Volume = L x B x H Diagonal = $$\sqrt{l^{2}+b^{2}+h^{2}}$$ Cube Surface Area= 6 x (side)2 Volume = (side)3 Diagonal = $$\sqrt{3}$$a Right prism Lateral or curved surface area = perimeter of base x height Total surface area =  lateral surface area + 2(area of ends) Volume= Area of base x Height Right Circular cylinder Lateral surface area = 2πrh Total surface area= 2πrh + 2πr2 Volume= πr2h Pyramid Lateral surface area= $$\frac{1}{2}$$ perimeter of base x slant height Total surface area= lateral surface area + area of base Volume= $$\frac{1}{3}$$ (area of base) x height Sphere Surface area= 4πr2 Volume= $$\frac{4}{3}$$πr3 Hemisphere Lateral Surface area= 2πr2 Total surface area= 3πr2 Volume= $$\frac{2}{3}$$πr3 Right circular cone Slant Height= l = $$\sqrt{r^{2}+h^{2}}$$ Lateral surface area= πrl Total surface area = πrl + πr2 Volume= $$\frac{1}{3}$$ πr2h Frustum of a cone formulas Slant Height= l = $$\sqrt{{h}^{2}+ ({r}_1-{r}_2)^{2}}$$ Lateral surface area= πl(r1+r2) Total surface area= πl(r1+r2) + πr12+ πr22 Volume= $$\frac{1}{3}$$πh(r12+r1r2+r22)

## Mensuration formula for Bank, railway, SSC exam and for class 6th to 10th:

The list of formulas with well-defined images will help you to memorise it easily. The formula list will help you to solve the problems related to mensuration much easily. Basic formulas are for class 6, then a little more added in each section of class 7, class 8, class 9, class 10 and so on.

## FAQ on Mensuration Formula:

1.  What are mensuration formulas?
Mensuration itself means To measure. In mathematics, these formulas help in a different kind of measurement of 2D, 3D figure such as its perimeter, lateral and total surface area, Volume. These formula ease the problem-solving way.
2. How to remember mensuration formulas?
To remember mensuration formulas you must make application of each formula in different types of problems. The more you practice problems more you will learn. Here formulas with figures is given so that it will be easy for you to learn.
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