Volume, perimeter and area are important topics of mathematics seen in daily life. It holds true for every shape or scale, whether regular or irregular.

• Area
• The region bounded by an object’s form is known as its area. The area of a shape is the space occupied by a figure or other geometric object. Their proportions and properties determine the shapes’ area. Different shapes have different measurement areas. The area of a square is not the same as the area of a kite.
• Perimeter
• The total distance around a form is known as its perimeter. In a nutshell, it’s the duration of every shape as extended linearly. Based on the lengths, the perimeters of various forms will be the same length.
• Volume
• The volume of an entity or material is the sum of space it takes up, estimated in cubic units. Two-dimensional objects have little volume and do have surface space.

The area of a flat form or surface of an entity may be described in geometry as its space. The amount of unit squares that cover the surface of a closed figure is the figure’s area. Square centimetres, square feet, square inches, and other similar units are used to quantify area.

The area of a rectangle in a two-dimensional plane is the area occupied by the rectangle. A rectangle is a two-dimensional (two-dimensional) structure with four sides and four vertices. The rectangle’s four angles are both right angles. The rectangle’s opposite sides are identical and parallel to one another.

Rectangle Area = Length x Breadth

We consider the length of a square’s side when calculating its area. A square’s area is proportional to the sum on its faces, so its area is equivalent to its sides’ square.

Area of a Square = Side × Side

When solving several problems, it is essential to convert units. Mathematical conversions are needed to complete the calculations. E.g., if a base is in centimetres and a height is in meters, and you have to find the area of a triangle in centimetres, you’ll need to translate the height in meters to centimetres. As a result, learning how to convert units is mandatory to convert a unit into the desired unit.

The situation determines a unit’s usage; for example, a room’s area is measured in meters, but a pencil’s length and thickness are measured in centimetres and millimetres, respectively.

As a result, we must convert one unit to another.

• Cube: A cube is a three-dimensional object with the XYZ plane as its definition. There are six faces, eight vertices, and twelve edges on this object. Many of the cube’s faces are circular and have the same proportions.
• Cuboid: A polyhedron with six faces, eight vertices, and twelve edges is known as a cuboid. The cuboid’s faces are parallel. However, not all of a cuboid’s faces are the same size.

Two essential and basic mathematical concepts are perimeter and area. They aid in quantifying physical space and laying the groundwork for more complex mathematics such as arithmetic, trigonometry, and calculus. Perimeter is a statistic of the width around a circle. Thus, the area indicates how much surface area the shape occupies.

People like architects, mechanics, and graphic designers use area and perimeter knowledge regularly, and it is a kind of math that is useful to the general public. When you paint a room, purchase a house, remodel a kitchen, or create a deck, knowing how much space you have and understanding how to put shapes together precisely can come in handy.

In this chapter, we learned about the basics of mensuration. We learned about some basic terms like perimeter, area, and volume.

1. What role does mensuration play in our everyday lives?
2. Mensuration is directly helpful in people’s vital practices. Agricultural zones, floor areas, or site areas must be measured for purchase/sale transactions.
3. What is the meaning of the term “mensuration”?
4. Measurement theory is the study of how things are measured. It is a division of mathematics concerned with the calculation of different geometric parameters.
5. What is the difference between 2D and 3D mensuration?
6. A 2D form is one enclosed by three or more straight lines in a plane. A 3D form is one surrounded by several surfaces or planes.
7. What are the two mensuration systems?
8. The metric (or decimal) method and the US standard system are the two most popular measurement units in the world. There are various units for calculating items like volume and mass in each system.
9. What is a unit, and what are the different kinds of units?
10. The unit is the measurement assigned for physical quantities. The fundamental quantities are length, mass, time, temperature, luminous strength, and electric current.