Mensuration

Mensuration is the branch of mathematics that deals with the measurement of geometric figures and their properties. By understanding its basic principles and formulas, we can solve a wide range of problems and make informed decisions in various fields including geometry, engineering, architecture, physics and everyday life.

Whether you are fencing a house, planning a garden or simply calculating the area and volume of your living room, mensuration plays a vital role in helping you achieve accurate results. In this Chapter, we will delve into the world of mensuration and explore its practical applications.

Perimeter and Area

Perimeter refers to the distance around the boundary of a two-dimensional shape. The perimeter can be expressed using various units of measurement such as centimetres (cm), metres (m) and other units of length.

The boundary around the shape is the perimeter of the shape.

Area refers to the measure of the space enclosed within the boundaries of a two-dimensional shape. The area can be expressed using various units of measurement such as square centimetres (cm²) and square metres (m²). 

The space or region within the shape is the area of the shape.

Volume and Surface Area

Volume refers to the amount of space occupied within the boundaries of a three-dimensional object. It is also known as the capacity of the object.

The volume can be expressed using various units of measurement such as cubic centimetres (cm³), cubic metres (m³) and other units of capacity/volume.

Volume is like how much-clarified butter is or how much a solid jar takes up.

Surface area refers to the area that covers the outer part of a three-dimensional object. The surface area can be expressed as the same units of area using various units of measurement such as square centimetres (cm²) and square metres (m²).

Surface area is how we measure the complete outer covering of a 3D object  including all the faces whether they are flat or curved.