Mensuration is a branch of mathematics that deals with measuring geometric figures, including their length, area, volume, and surface area. It provides formulas and techniques for calculating these attributes for 2D (plane) shapes and 3D (solid) objects.
Types of Mensuration
- 2D Mensuration- Deals with the measurement of the perimeter and area of two-dimensional shapes like triangles, rectangles, circles, and polygons.
- 3D Mensuration – Involves the calculation of surface area and volume of three-dimensional objects like cylinders, cones, spheres, and cubes.
Basics of Mensuration
Learn the fundamental formulas and concepts used in geometric measurements.
Mensuration of 2D Shapes
Learn to calculate the area and perimeter of plane figures.
- Triangle: Area | Perimeter
- Rectangle: Area | Perimeter
- Square: Area | Perimeter
- Circle: Area | Circumference
Quadrilateral:
- Area of a Quadrilateral
- Area of a Rhombus
- Area of a Trapezium
- Area of a Parallelogram
- Perimeter of a Parallelogram
Mensuration of 3D Shapes
Learn the surface area and volume formulas for solid figures.
- Cube: Surface Area of Cube | Volume of Cube
- Cuboid: Surface Area of Cuboid | Volume of Cuboid
- Sphere: Surface Area of a sphere | Volume of a sphere
- Cylinder: Surface Area of the Cylinder | Volume of a Cylinder
- Cone: Area of a Cone | Volume of a Cone
Real-Life Applications of 3D Mensuration
Explore how mensuration is used in everyday life and practical fields.
- Applications of Area
- Applications of Perimeter
- Real-Life Applications of Surface Area
- Real-Life Applications of Volume
Practice Questions & Quizzes
Practice problems and quizzes to strengthen your understanding of mensuration concepts.
- Area and Perimeter Quiz
- Surface Area and Volume Quiz
- Practice Problems on Surface Area and Volume
- Important Questions
Aptitude Preparation
Prepare for competitive exams with aptitude-based mensuration questions.
- Quiz About Mensuration 2D
- Quiz About Mensuration 3D
- Aptitude Questions on Mensuration 2D
- Aptitude Questions on Mensuration 3D
- Aptitude Question and Answer-Volume and Surface Area
Advanced Section of Mensuration
This section covers advanced topics in mensuration, including polyhedra, prisms, pyramids, and hemispheres, with formulas for their surface area and volume.
- Polyhedrons
- Prism: Surface Area of a Prism
- Volume of a Prism: Volume of a Rectangular Prism | Volume of a Square Prism
- Pyramid: Volume of a Pyramid | Surface Area of a Pyramid
- Hemisphere: Surface Area of Hemisphere | Volume of Hemisphere
Mensuration for Programmers
Programs to calculate the area of various shapes, including triangles, rectangles, cones, and spheres, as well as their surface areas and volumes.