Solid Mensuration

Mensuration Formulas

Mensuration is the branch of mathematics which deals with the study of Geometric shapes, their area, volume and related parameters.

Some important mensuration formulas are:

1. Area of rectangle (A) = length(l) × Breath(b)

2. Perimeter of a rectangle (P) = 2 × (Length(l) + Breath(b))

3. Area of a square (A) = Length (l) × Length (l)

4. Perimeter of a square (P) = 4 × Length (l)

5. Area of a parallelogram(A) = Length(l) × Height(h)

6. Perimeter of a parallelogram (P) = 2 × (length(l) + Breadth(b))

7. Area of a triangle (A) = (Base(b) × Height(b)) / 2

And for a triangle with sides measuring “a” , “b” and “c” , Perimeter = a+b+c

and s = semi perimeter = perimeter / 2 = (a+b+c)/2

And also: Area of triangle =

This formulas is also knows as “Heron’s formula”.

8. Area of triangle(A) =

Where A, B and C are the vertex and angle A , B , C are respective angles of triangles and  a , b , c are the respective opposite sides of the angles as shown in figure below:

area of triangle - mensuration

9. Area of isosceles triangle =

Where a = length of two equal side , b= length of base of isosceles triangle.

10. Area of trapezium (A) =

Where “a” and “b” are the length of parallel sides and “h” is the perpendicular distance between “a” and “b” .

11. Perimeter of a trapezium (P) = sum of all sides

12. Area of rhombus (A) =  Product of diagonals / 2

13. Perimeter of a rhombus (P) = 4 × l

where l = length of a side

14. Area of quadrilateral (A) = 1/2 × Diagonal × (Sum of offsets)

15.  Area of a Kite (A) = 1/2 × product of it’s diagonals

16. Perimeter of a Kite (A) = 2 × Sum on non-adjacent sides

17.  Area of a Circle (A) =

Where r = radius of the circle and d = diameter of the circle.

18. Circumference of a Circle =

r= radius of circle

d= diameter of circle

19. Total surface area of cuboid =

where l= length , b=breadth , h=height

20. Total surface...