Mathematics made fun. Here is the general geometrical formulae for student – class 8 to 12. Formulae for perimeter, area and volume of rectangle, square, triangle, parallelogram, circle, cylinder, cuboid etc.
Perimeter –
Perimeter is the total length of the path that encompasses/ surrounds/ outlines a shape. Eg. Sum of lengths of 4 sides of a rectangle is the perimeter of rectangle (2D).
Area –
Area is the amount of space enclosed inside the perimeter of that shape (2D).
Volume –
The space between the walls of the 3D object is measured as volume of that object (3D).
Property
Measured In
Perimeter
Unit
Area
Unit2
Volume
Unit3
General Geometric Shapes ( Area – Perimeter)
Geometrical Shapes
Area (A)
Perimeter
Circle
A = πr2
P = 2 πr
Parallelogram,
A = Breadth x Height
P = 2( sum of two adjecent sides)
Rectangle
A = Length x Width
P = 2(Length + Width)
Square
A = s2
P = 4S
Trapezoid
A =1/2 x Height x(b1xb2)
P = side1 + side2 + side3 +side4
Triangle
A =1/2 x B x Perpendicular H
P = Sum of all the three sides of a triangle
Triangle ( Right Triangle)
A=√(s(s−a)(s−b)(s−c)) where s=(a + b + c)2
P = a+b+√(a2+b2)
Volume of Shapes
Shape
Formula
Variables
Cube
V=s3
s is the length of the side.
Right Rectangular Prism
V=LWH
L is the length, W is the width and H is the height.
