Perimeter, Area, And Volume

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.

  1. 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).
  2. Area
    • Area is the amount of space enclosed inside the perimeter of that shape (2D).
  3. Volume
    • The space between the walls of the 3D object is measured as volume of that object (3D).

PropertyMeasured In
PerimeterUnit
AreaUnit2
VolumeUnit3
General Geometric Shapes ( Area – Perimeter)
Geometrical ShapesArea (A)Perimeter
CircleA = πr2P = 2 πr
Parallelogram,A = Breadth x HeightP = 2( sum of two adjecent sides)
RectangleA = Length x WidthP = 2(Length + Width)
SquareA = s2P = 4S
TrapezoidA =1/2 x Height x(b1xb2)P = side1 + side2 + side3 +side4
TriangleA =1/2 x B x Perpendicular HP = 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)2P = a+b+√(a2+b2)
Volume of Shapes
ShapeFormulaVariables
CubeV=s3s is the length of the side.
Right Rectangular PrismV=LWHL is the length, W is the width and H is the height.
Prism or CylinderV=AhA is the area of the base, h is the height.
Pyramid or ConeV=1/3AhA is the area of the base, h is the height.
SphereV=4/3πrr is the radius.

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