Mensuration

Formulae

(1) Triangle:
1
s = semi perimeter
Area = 1/2ah
Perimeter = a+b+c
Area =g1


(2) Right angle triangle:
2
Area=1/2BaseHeight
Perimeter = Base+Altitude+Hypotenuse
Hypotenuse=g2


(3) Isosceles Triangle: Two sides are equal
3

Area =g3


(4) Equilateral Triangle: Three sides are equal, all angles are equal, each being of 60º
4
Area =g4


(5) Quadrilateral: It has four side , Four angles having sum 360º.
6
Area = Area of (△ABC+△ADC)


(6) Square: Four sides and diagonal are equal, all angles are equal each being 90º.
7
Perimeter = 4a
Diagonal = a√2


(7) Parallelogram: It is a parallelogram whose opposite sides are equal & parallel.
8
Area=Base*Height
Perimeter=2 (Length+breadth)


(8) Rhombus: All sides are equal and its diagonal bisect each other at 90º.
9
g7


(9) Trapezium: Its is a Quadrilateral with any pair of its sides parallel.
10
Area =g8


(10) Cube: a is side of cube
11

Volume of the cube = a3 cubic units
Surface Area = 6a2 square units
Diagonal =g9


(11) Cuboid: l=Length, b=breadth, h=height
12
Volume = lbh cu units
Surface Area = 2(lb+bh+lh) sq units
Diagonal =√l2+b2+h2


(12) Cylinder:
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Volume = Πr2h cu units (where r is Radius,h is height)
Curved Surface Area = 2Πrh sq units
Total Surface Area = 2Πrh + 2Πr2 sq units


(13) Cone: where l is slant height,r is Radius,h is height
14
i2= h2 + r2
Volume = 1/3(Πr2h) cu units
Curved Surface Area = Πrl sq units
Total Surface Area = Πrl + Πr2 sq units


(14) Sphere: where r = radius
15
Volume = (4/3)Πr3 cu units
Surface Area = 4Πr2 sq units


(15) Hemisphere: where r = radius
16
Volume = (2/3)Πr3 cu units
Curved Surface Area = 2Πr2 sq units
Total Surface Area = 3Πr2 sq units


(16) Prism:
Volume = (Area of base)(Height)

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