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# Mensuration

Formulae :
Triangle:

s = semi perimeter
Area = 1/2ah
Perimeter = a+b+c
Area =
Right angle triangle:

Area=1/2BaseHeight
Perimeter = Base+Altitude+Hypotenuse
Hypotenuse=
Isosceles Triangle: Two sides are equal

Area =

Equilateral Triangle: Three sides are equal, all angles are equal, each being of 60º

Area =

Quadrilateral : It has four side , Four angles having sum 360º.

Area = Area of (△ABC+△ADC)

Square : Four sides and diagonal are equal, all angles are equal each being 90º.

Perimeter = 4a
Diagonal = a√2
Parallelogram : It is a parallelogram whose opposite sides are equal & parallel.

Area=Base*Height

Rhombus : All sides are equal and its diagonal bisect each other at 90º.

Trapezium : Its is a Quadrilateral with any pair of its sides parallel.

Area =

Cube : a is side of cube

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

Cuboid : l=Length, b=breadth, h=height

Volume = lbh cu units
Surface Area = 2(lb+bh+lh) sq units
Diagonal =√l2+b2+h2

Cylinder :

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

Cone : where l is slant height,r is Radius,h is height

i2= h2 + r2
Volume = 1/3(Πr2h) cu units
Curved Surface Area = Πrl sq units
Total Surface Area = Πrl + Πr2 sq units

Sphere : where r = radius

Volume = (4/3)Πr3 cu units
Surface Area = 4Πr2 sq units

Hemisphere :where r = radius

Volume = (2/3)Πr3 cu units
Curved Surface Area = 2Πr2 sq units
Total Surface Area = 3Πr2 sq units

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