Maths Tricks

# Maths Tips Mensuration, Formulas

Here we have listed All the Important terms, Formulas of Mensuration on General Aptitude. Those Maths Tips will help you get maximum marks from this section. This file will be updated regularly, So please bookmark this page on your browser to get latest updates. You can also download the PDF file of the following below.

**Rectangle :**

Area = lb |

Perimeter = 2(l+b) |

**Square :**

Area = a×a |

Perimeter = 4a |

**Parallelogram**

Area = l × h |

Perimeter = 2(l+b) |

**Triangle :**

Area =b×h/2 or √s(s-a)(s-b)(s-c)…………….where s=a+b+c/2 |

**Right angle Triangle :**

Area =1/2(bh) |

Perimeter = b+h+d |

**Isosceles right angle triangle :**

Area = ½. a^{2} |

Perimeter = 2a+d……………………….where d=a√2 |

**Equilateral Triangle :**

Area = √3. a^{2}/4 or ½(ah)….where h = √3/2 |

Perimeter = 3a |

**Trapezium :**

Area = 1/2h(a+b) |

Perimeter = Sum of all sides |

**Rhombus :**

Area = d1 × d2/2 |

Perimeter = 4l |

**Quadrilateral**

Area =1/2 × Diagonal × (Sum of offsets) |

**Kite :**

Area = d1×d2/2 |

Perimeter = 2 × Sum on non-adjacent sides |

**Circle :**

Area = πr^2 or πd^2/4 |

Circumference = 2πr or πd |

Area of sector of a circle = (θπr^2 )/360 |

**Frustum :**

Curved surface area = πh(r_{1}+r_{2}) |

Surface area = π( r_{1}^{2}+ h(r_{1}+r_{2}) + r_{2}^{2}) |

**Cube :**

Volume: V = l^{3} |

Lateral surface area = 4a^{2} |

Surface Area: S = 6s^{2} |

Diagonal (d) = √3l |

**Cuboid :**

Volume of cuboid: lbh |

Total surface area = 2 (lb + bh + hl) or 6l^{2} |

Length of diagonal =√(l^2+b^2+h^2) |

**Right Circular Cylinder :**

Volume of Cylinder = π r^{2} h |

Lateral Surface Area (LSA or CSA) = 2π r h |

Total Surface Area = TSA = 2 π r (r + h) |

Volume of hollow cylinder = π r h(R^{2} – r^{2}) |

**Right Circular cone :**

Volume = 1/3 π r^{2}h |

Curved surface area: CSA= π r l |

Total surface area = TSA = πr(r + l ) |

**Sphere**

Volume: V = 4/3 πr^{3} |

Surface Area: S = 4πr^{2} |

**Hemisphere :**

Volume = 2/3 π r^{3} |

Curved surface area(CSA) = 2 π r^{2} |

Total surface area = TSA = 3 π r^{2} |

**Prism :**

Volume = Base area x h |

Lateral Surface area = perimeter of the base x h |

**Pyramid:**

Volume of a right pyramid = (1/3) × area of the base × height. |

Area of the lateral faces of a right pyramid = (1/2) × perimeter of the base x slant height. |

Area of whole surface of a right pyramid = area of the lateral faces + area of the base. |

**Tetrahedron :**

Area of its slant sides = 3a^{2}√3/4 |

Area of its whole surface = √3a^{2} |

Volume of the tetrahedron = (√2/12) a ^{3} |

**Regular Hexagon :**

Area = 3√3 a^{2} / 2 |

Perimeter = 6a |

**Some other Formula :**

Area of Pathway running across the middle of a rectangle = w(l+b-w) |

Perimeter of Pathway around a rectangle field = 2(l+b+4w) |

Area of Pathway around a rectangle field =2w(l+b+2w) |

Perimeter of Pathway inside a rectangle field =2(l+b-4w) |

Area of Pathway inside a rectangle field =2w(l+b-2w) |

Area of four walls = 2h(l+b) |