Mensuration

Ans:

• Length – Length can be defined as the measure of the distance between two points. It is applicable for both 2D and 3D figures. It is measured in mm, cm, m, and km in the standard format
• Breadth – Breadth is the width of a 2D or a 3D figure. It is generally smaller in distance from the length and uses similar units of measurement as length
• Height – Height is the vertical distance from the base to the top of a 3D figure.

Ans: Let’s first understand its definition.

Area – Area can be defined as a closed geometric figure occupied by a region. It is applicable for both 2D and 3D figures. It is measured in the squared length units and defined by the letter ‘A.’

Volume – Volume is a term exclusively for 3D figures. In simple terms, the volume gives us an idea about the total space a 3D figure holds. 

As it is clear, both area and volume describe the space occupied by closed geometric figures but the area is for the 2D figures while volume is for 3D figures.

Ans:

• Surface area – The surface area is an area of the surface of a 3D figure. It is the area required for covering a 3D figure’s surface 
• Curves surface area – Some 3D figures have curved surfaces instead of sharp edges. A curved surface area is the area of only the curved surfaces of a 3D shape except for the circular top and base
• Lateral surface area – Lateral area covers all of the 3D objects except the top and base of the object
• Total surface area – Total surface area is the summation of surface areas of the whole 3D object including the top and base.

Ans: Perimeter – This term is used for 2D figures, it is a summation of the length and breadth of the figure. It gives us the measurement of the boundary of a 2D figure.

Circumference – The circumference of a circle is best defined as the circle’s perimeter. It is the total length of a circle’s border.

The major difference is that the circumference is exclusively for circles while the perimeter is used for other closed geometric figures.

Ans: Mensuration is widely used in agricultural and engineering fields, for estimating the total surface area before painting it, measuring volumes of liquid substances before packing them, etc.