# Mensuration Formulas For 2D Shapes and 3D Shapes

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Mensuration Formulas For 2D and 3D Shapes: In mathematical geometry, the mensuration formula is of greatest importance. According to a mathematical survey, in each type of exam (competition, board, government or non-government) more than 30 Percent questions asked related to Mensuration Formula. Therefore, it is necessary to use a special formula to solve such questions.

In some recent annual board and competition exams, it has been seen that more questions have been asked related to geometrical figures like cone, cylinder, sphere, rectangle, triangle, quadrilateral etc. Which shows how important it is to remember the mensuration formula.

To helping Aspirants Fresherscloud Team Has Provided almost all the components related to Mensuration i.e. Volume, Area, Perimeter etc. will be studied in detail here. Along with solving the questions, which will also help in strengthening your grip in Mathematics.

**Definition of Mensuration | Definition of Mensuration in English**

Geometric mensuration is a branch of mathematics that completes measurement-related operations. In measurement also, especially it deals with the formulation and use of the formulas of area, volume, and perimeter or perimeter of geometric figures.

**Here are some of the major components of Mensuration which are as follows.**

**Mensuration Formulas For 2D and 3D Shapes**

**Perimeter **

Perimeter or Parimaap in mensuration is the distance that forms a closed figure by moving along the line segments of a figure made of line segments. Therefore, circumambulation around that shape is called perimeter. In other words, the sum of the lengths of all the sides of a figure is called the perimeter of that figure.

**Area**

The magnitude of a two-dimensional shape of a plane or curved is called area. The area whose area is to be determined, is generally bounded by a closed curve. Area is always measured in square units.

**Volume**

Volume: A space enclosed by a three-dimensional shape is called a volume. The space occupied by a substance is expressed in length, width and height. Volume is always measured in cubic units.

Note:-

Only three dimensional figures have volumes. Such as, cylinder, cone cube, cuboid, sphere, sprinkler etc.

### A**ll Formulas of Mensuration | Mensuration All Formula**

Area and perimeter of two dimensional figures such as rectangle, square, right angled triangle, isosceles triangle etc. and volume, area and perimeter of three dimensional figures such as cube, cuboid, cylinder, cone, sphere, cone etc. are included here in detail. The mathematics that will lead you to a bright future.

**Mensuration Formulas For 2D Shapes**

**Square**

**Area (Square units)**– a^{2}

**Perimeter (units)**– 4a

### Scalene Triangle

**Area (Square units)**– √[s(s−a)(s−b)(s−c)],

Here Is, s = (a+b+c)/2

**Perimeter (units)**– a+b+c

**Isosceles Triangle**

**Area (Square units)**– ½ × b × h

**Perimeter (units)**– 2 a + b

### Equilateral triangle

**Area (Square units)**– (√3/4) × a^{2}

**Perimeter (units)**– 3a

**Rectangle**

**Area (Square units)**– l × b

**Perimeter (units)**– 2 ( l + b)

### Circle

**Area (Square units)**– πr^{2}

**Perimeter (units)**– 2 π r

### Right Angle Triangle

**Area (Square units)**– ½ × b × h

**Perimeter (units)**– Base + Height + hypotenuse

**Rhombus**

**Area (Square units)**– ½ × d_{1} × d_{2}

**Perimeter (units)**– 4 × side

**Parallelogram**

**Trapezium**

shape | Area | Perimeter | |
---|---|---|---|

Square | a^{2} | 4a | |

Rectangle | l × b | ||

Circle | πr^{2} | 2 π r | |

Scalene Triangle | √[s(s−a)(s−b)(s−c)],Where, s = (a+b+c)/2 | a+b+c | |

Isosceles Triangle | ½ × b × h | 2a + b | |

Equilateral triangle | (√3/4) × a^{2} | 3a | |

Right Angle Triangle | ½ × b × h | b + hypotenuse + h | |

Rhombus | ½ × d_{1} × d_{2} | 4 × side | |

Parallelogram | b × h | 2(l+b) | |

Trapezium | ½ h(a+c) | a+b+c+d |

### Cube

**Cuboid**

**Also Check: Trigonometry | Definition, Formulas, Ratios, Table, & Identities**

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