Introduction

Mensuration is the branch of mathematics that deals with the measurement of geometric figures and their parameters such as length, area, volume, and perimeter.

Important Mensuration Formulas

• Perimeter and Area of 2D shapes
• Surface Area and Volume of 3D shapes

Perimeter and Area of 2D Shapes

Rectangle

Perimeter = 2(l + b)

Area = l × b

Square

Perimeter = 4a

Area = a²

Triangle

Perimeter = a + b + c

Area = ½ × base × height

Circle

Circumference = 2πr

Area = πr²

Surface Area and Volume of 3D Shapes

Cuboid

Surface Area = 2(lb + bh + hl)

Volume = l × b × h

Cube

Surface Area = 6a²

Volume = a³

Cylinder

Surface Area = 2πr(h + r)

Volume = πr²h

Sphere

Surface Area = 4πr²

Volume = (4/3)πr³

Applications of Mensuration

• Architecture and Engineering
• Construction and Land Measurement
• Physics and Real-life Calculations

Conclusion

Mensuration is an essential mathematical concept with vast applications in real life, including construction, science, and design.