Rectangle
Area = l x b l - length
b - breath
Volume = l x b x h h - height
r - radius
Perimetere = 2 ( l + b ) a – one side

Square
Area = a2

Perimetere = 4 a

Right angled triangle

Area = ½ bh

Hypotenuse = base2+height2 h

b

Base = hypotenuse2 – height2


Height (altitude) = hypotenuse2 – base2

ISCOArea = ½ bh
h
Equilateral triangle
b
Area = ¾ a2

Perimetere = 3a

Scalene triangle
c b
Area = S (s – a ) (s-b ) (s-c)
a
Perimetere = a + b + c

Circle
Area = ∏r2

Perimetere = 2∏r

Diameter = 2 x radius ( radius)


Radius = diameter
2


Area = ½ h (a + b)



Parallelogram

Area = bh
Area = ½ d1 d2





Cuboid

Volume = lbh

Lateral surface area = Perimetere x Height = 2 ( l + b )h


Total Surface area = 2(lb + bh + lh )

Cube [all side are equal to a ]

Volume = a3

Total surface area = 6a2

Squre Prism


Volume = a2 h Volume of any prism = base area x height



base area = a2

Lateral surface area = 4ah

Total Sarface area = 2a2 + 4ah


Cylinder

Volume = ∏ r2h
base area = ∏ r2

Lateral surface area = 2 ∏ rh

Total Sarface area = - 2∏ r2 +2∏rh

Sphere
Volume =4/3∏ r 3

Sarface area =4/3∏ r2

Semi sphere

Volume =2/3 ∏ r 3

Lateral surface area = 2∏ r 2

Total Sarface area = 3∏ r 2
Pipe t = r – t


base area = 2∏ R 2 - 2∏ r2 = 2∏t (R+r)
Volume = 2 ∏ht (R+r)

Total Sarface area = 2∏ht (R+r) + 2∏Rh + 2∏rh

Polygon

Triangle , quail trilateral, Pentagon , heragon , hetagon , (octagon ),
Nonagon , Sun of interior angle of any polygon -
Sun of exterior angle of any polygon = 360

exterior angle = Sum of interior opposite angles

liner pair

Sun of angles = 180

Right angle

Obtuse angle

Complementery angle

Supplimentary angle

Arithmetic progression a = first term
nth term = a + (n – 1 ) d d = common difference
Sum of n natural numbers = n(n + l)
2
Sum of odd numbers = n2
Sum of n even numbers = n (n + 1)
Sum of n terms = n
2
n (2a + (n-1)d)
2



Geometric progression

nth term = ar n-1 r – common ratio t2
t1

Sum of n terms = a (1 – r n ) or a (rn – 1)
1 – r r-1