### SSC study materials - Maths

Mensuration

1.    Triangle

v   Area = ½  * base * height

Where a,b,c are the lengths of the sides of triangle and

s = a+b+c /2; 2s = a+b+c

v   Area of a equilateral triangle = √3 / 4 *(side)²

2.    Rectangle

v   Area = length * breadth

v   Perimeter = 2 (length + breadth)

3.    Square

v   Perimeter = 4 * side

v   Area = (side)²

v   Diagonal = side * √2

4.    Parallelogram

v   Area = base * height

5.    Rhombus

v   Area = ½ (d1 * d2)

6.    Regular hexagon

v   Perimeter = 6 * side

v   Area = 3√3 /2 * (side)²

7.    Cube

v   Volume = (a)³

v   Whole surface = 6a²

8.    Circle

v   Area = πr²

v   Circumference = 2 πr

9.    Sphere

v   Volume = 4/3 πr³

v   Surface area = 4/3 πr²

10.                       Cylinder

v   Volume = πr² h

v   Total surface area = 2 πr(r+h)

v   Curved surface area = 2πrh

11.                       Cone

v   Volume = ½ πr² h

v   Curved surface area = πrl

v   Total surface are = πr(l+r)

This simplest form of formulae's of mensuration will help you to work out the sums for the exams.