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.