You must have seen the questions of mensuration in** SSC, Bank, Railway, and other exams**. Do you remember **mensuration formulas?****Mensuration** maths is an important topic of maths, in which** 2D and 3D shapes** are seen, these shapes are the things around us like a ball is of sphere shape, a table is a rectangle, circle, or square shape.

2D shapes such as square, rectangle, have to measure their area, perimeter, length while in 3D shapes such as a cube, cuboid, cone, cylinder, Sphere their area, perimeter as well as volume have to be measured.

In this post, I have shared with you the list of mensuration formulas **2D and 3D**.

You can also download mensuration formulas pdf for bank exams and SSC exams.

### 2D Mensuration Formulas

#### Square (वर्ग)

Square has 4 sides. All Sides are equal.

Perimeter (परिमाप) of Square 4a = **4 x side**

Area of Square = **A ^{2} = Side^{2}**

Diagonal (विकर्ण) = **√ 2 x side**

#### Rectangle (आयत)

Rectangle has 2 length and 2 breath

Perimeter (परिमाप) of rectangle= **2 (Length+ Breath)**

Area of rectangle= **Length x Breath**

Diagonal (विकर्ण) =** ^{2}√length^{2} + Breath^{2}**

#### Rhombus (समचर्तुभुज)

All sides are equal but not angles.

Diagonals intersect each other and make an angle of **90 ^{0}**.

Perimeter (परिमाप) of Rhombus= **4 x side**

Area of Rhombus= **1/2 x d _{1 }xd_{2}**

#### Parallelogram (समान्तर चतुर्भुज)

Perimeter (परिमाप) of parallelogram= **2 (Length+ Breath)**

Area of parallelogram=** Base x Height**

#### Right Angle Triangle (समकोण)

Area of Triangle= **1/2x base x height**

Perimeter (परिमाप) of Triangle=** Perpendicular + Base + Hypotenuse** **(P+B+H)**

Perpendicular^{2 }+ Base^{2 }= **Hypotenuse ^{2}**

#### Equilateral Triangle (समभुज त्रिकोण)

All sides are equal

Perimeter (परिमाप) of triangle = **3 x Side**

Area of triangle = **√ 3/4 x Side ^{2}**

Height of Triangle = **√ 3/2 Side**

#### Isosceles Triangle (समद्विबाहु)

Any of 2 sides are equal and their angles are also equal.

Area of Triangle= **1/2 x Base x Height**

Area of Triangle=** b √4side ^{2} – b^{2}/4**

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### 3D Shapes

#### Cube (घन)

**6 faces, 12 Edges and 8 vertices**. All sides are equal.

Diagonal (विकर्ण) = **√3 x Side**

CSA (वक्रप़ष्ठ) of Cube= **6side ^{2}**

Volume (आयतन) of Cube= **Side ^{3}**

#### Cuboid (घनाभ)

Opposite sides are equal.

Diagonal (विकर्ण) = ^{2}√ length^{2} + breath^{2 }+ height^{2}

CSA (वक्रप़ष्ठ) of cuboid=** 2 (lb+bh+hl)**

Volume (आयतन) of cuboid=** length x breath x height (lbh)**

#### Cylinder (बेलन)

CSA (वक्रप़ष्ठ) of cylinder= **2x π radius x height (2πrh)**

TSA (संपूर्ण प़ष्ठ) of Cylinder= **2 π r (height + radius) (2πr (h+r)**

Volume (आयतन) of cylinder= **π radius ^{2} x height (πr^{2}h)**

#### Cone (शंकु)

CSA (वक्रप़ष्ठ) of cone=** π x radius x slant height (πrl)**

TSA (संपूर्ण प़ष्ठ) of cone=** π x radius (slant height x radius) πr (l+s)**

Volume of (आयतन) cone= **1/3 π x radius ^{2} x height (1/3 πr^{2}h)**

#### Sphere (गोला)

CSA/TSA of Sphere= **4 π x radius ^{2} (4πr^{2})**

Volume (आयतन) of Sphere= **4/3 π x radius ^{3} (4/3 πr^{3})**

#### Hemisphere (अर्धगोल)

CSA (वक्रप़ष्ठ) of Hemisphere= **2π x radius ^{2} (2πr^{2})**

TSA (संपूर्ण प़ष्ठ) of Hemisphere= **3π x radius ^{2} (3πr^{2})**

Volume (आयतन) of Hemisphere= **2/3 π x radius ^{3} (2/3 πr^{3})**

#### Regular Tetrahedron (समचतुष्फलक)

Height= **√2/√3 x side**

LSA/CSA (वक्रप़ष्ठ) of Tetrahadron= **3 x √3/4 x side ^{2}**

TSA (संपूर्ण प़ष्ठ) of Tetrahadron= **√3 x side ^{2}**

Volume (आयतन) of Tetrahadron= **side ^{3}/6√2**

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