**Important Formulas of Mensuration**

Contents

**(2-D Figures)**

**Rectangle**

Area = length × breadth

Perimeter = 2(L + B)

Diagonal =

**Square**

Area = (side)² =

Perimeter = 4 × side

Diagonal =

**Rhombus**

Area = b × h =

**Parallelogram**

Area = base × height

**Trapezium**

Area =

**Quadrilateral**

Area of Quadrilateral =

**Circle**

Radius =

Circumference = [π = 22/7 or 3.14]

**Note- Perimeter of circle is called Circumference (C)**

Area =

Area of Sector = (θ = sector angle)

Area of Sector =

Area of Segment = Area of Sector – Area of Triangle

**(3-D Figures)**

**Cuboid**

Lateral Surface Area =

Total Surface Area =

Diagonal =

Volume =

**Cube**

Lateral Surface Area =

Total Surface Area =

Diagonal =

Volume =

**Cylinder**

Lateral Surface Area =

Total Surface Area =

Volume =

**Cone**

Lateral Surface Area =

Here l = ; [l = slant height]

Total Surface Area =

Volume =

**Sphere**

Lateral Surface Area =

Total Surface Area =

Volume =

Volume of Spherical Shell =

**Hemisphere**

Lateral Surface Area =

Total Surface Area =

Volume =

**Frustum**

Volume =

Curved Surface Area =

Total Surface Area =

**Prism**

Volume = Area of base × height

Curved Surface Area (CSA) = Perimeter of Base × height

Total Surface Area = CSA + 2 × Area of Base

**Tetrahedron**

- It is made up of 4 equilateral triangles.

height =

Volume =

Curved Surface Area =

Total Surface Area =

**Pyramid**

Volume = × Area of base × height

Curved Surface Area = × Perimeter of Base × slant height

Total Surface Area = CSA + Area of Base

__Important Unit Conversions__

__Important Unit Conversions__

1 are = 100 m²

1 hectare = 10000 m²

I hectare = 100 ares

100 hectare = 1 km²

1 cm³ = 1 ml

1 m³ = 1000 litre

1000 cm³ = 1 litre