All mensuration formulas pdf: Mensuration is the measure of area, volume, length of sides of any given figure. Mensuration gives total surface area, lateral surface area/curved surface area, volume of figures which we want to calculate.
In mensuration, Volume is calculated using the third side. Thus it can be concluded that three dimensional figures have volume but two dimensional figures have only area or surface area.
All mensuration formulas pdf
What is 2-D FIGURE
A 2D figure is that figure which can be laid on the flat surface without possessing any notable height.
For Ex: Square, Rectangle, Parallelogram, Rhombus, Circle etc
What is 3D Figure
Those figures who possess three dimensions in which length, breadth and height is included is known as 3D figure. 3D figures have the capability to hold something thus they have volume.
Volume(3D): Cubic Units
Surface Areas(2D/3D): Square Units
Formulae used in Mensuration are given in table
For 2D Figures
|Shapes/Figure||AREA(Square Units)||Perimeter(Only Unit)|
|CIRCLE||πr² where r is Radius||2πr|
Where, s = (a+b+c)/2
s≈is known as Herons Formula or semi perimeter.
|SUM OF SIDES =a+b+c|
|ISOCELES /RIGHT TRIANGLE||(½)base×height|
|RHOMBUS||(½)product of diagonals||2(length+breadth)|
|TRAPEZIUM||(½)sum of parallel sides×distance b/w parallel sides||Sum of sides =a+b+c+d|
For 3D Shapes
|SHAPES||VOLUME(cubic units)||CSA/LSA(square units)||TSA(square units)|
|SQUARE||(4/3)πr³||can’t be determined||4πr²|
|HEMISPHERE||(2/3)πr³||can’t be determined||2πr²|
|CONE||(⅓)πr²h||πrl, where l²=h²+r²||πr(l+r), where l²=h²+r²|
CSA/LSA= Curved Surface Area/Lateral Surface Area
TSA= Total Surface Area
- l=slant height
a, b, c are sides of respective figure
Area: Area of 2D figure means how much area or portion is being covered by that figure on the surface only.
VOLUME:– Volume is the measure of capacity that an object can hold. It is a cubic unit quantity.
TSA:– It is a measure of the area of all surfaces of that figure which is exposed and can be touched. It is a square unit quantity.
CSA/LSA:– It is the measure of area of surfaces other than base and top of any 3D object.
It is also a square unit quantity.
Radius:– In a circle the shortest distance from center to the boundary.
Perimeter/Circumference:– It is the total length of the boundary of a 2D figure.
Diagonal:– In a four sided 2D figure line joining the opposite vertices is called diagonal. In a four sided 2D figure only 2 diagonals are possible.
Height:– The shortest and perpendicular distance between two lines is known as Height.
Value Of Pie(π) =22/7 =3.14
There are two values (mentioned above) of pie in which one value can be used at a time according to preference and convenience.
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