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.