# Mensuration

**Mensuration** is the branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc.

Mensuration applies to two-dimensional (2D) figures like squares, rectangles, triangles, parallelograms, trapezium, etc. It applies to three-dimensional (3D) figures like a cube, cuboid, cylinder, cone, sphere, etc.

Mensuration formulas are an important aspect of geometry and are utilized in a variety of mathematical and real-world contexts. It deals with dimensions such as shape, length, volume, area, surface area, and so on. Mensuration is the measurement of geometrical figures that fall into the categories of 2D and 3D shapes.

**Differences Between two-dimensional (2D) and three-dimensional (3D) shapes**

Two-dimensional (2D) Shape | Three-dimensional (2D) Shape |

Any shape is 2D if it is bound by three or more straight lines in a plane. | A shape is a three-dimensional shape if there are several surfaces or planes around it. |

There is no height or depth in these shapes. | In contrast to 2D forms, these are sometimes known as solid shapes and have height or depth. |

These shapes just have length and width as their dimensions. | Since they have depth (or height), breadth, and length, they are referred to as three-dimensional objects. |

We can calculate their perimeter and area. | Their volume, curved surface area, lateral surface area, or total surface area can all be calculated. |

## Mensuration in Maths- Terminologies

Terms | Abbreviation | Unit | Definition |

Area | A | m^{2} or cm^{2} |
The area is the surface which is covered by the closed shape. |

Perimeter | P | cm or m | The measure of the continuous line along the boundary of the given figure is called a Perimeter. |

Volume | V | cm^{3} or m^{3} |
The space occupied by a 3D shape is called a Volume. |

Curved Surface Area | CSA | m^{2} or cm^{2} |
If there’s a curved surface, then the total area is called a Curved Surface area. Example: Sphere |

Lateral Surface area | LSA | m^{2} or cm^{2} |
The total area of all the lateral surfaces that surrounds the given figure is called the Lateral Surface area. |

Total Surface Area | TSA | m^{2 }or cm^{2} |
The sum of all the curved and lateral surface areas is called the Total Surface area. |

Square Unit | – | m^{2 }or cm^{2} |
The area covered by a square of side one unit is called a Square unit. |

Cube Unit | – | m^{3 }or cm^{3} |
The volume occupied by a cube of one side one unit |