Mensuration in Maths

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.

Mensuration in Mathematics for Students

This section covers the basics of mensuration, including key formulas and applications of geometric measurements.

• Introduction to Mensuration
• Mensuration Formulas
• Applications of Mensuration in Real Life

Mensuration of 2D Shapes

This section focuses on the mensuration of 2D shapes, covering the area and perimeter formulas for triangles, rectangles, squares, circles, and quadrilaterals, including specific shapes like rhombus, trapezium, and parallelogram.

• Triangle
  • Area of a Triangle
  • Perimeter of a Triangle
• Rectangle
  • Area of a Rectangle
  • Perimeter of a Rectangle
• Square
  • Area of Square
  • Perimeter of a Square
• Circle
  • Area of Circle
  • Circumference of Circle
• Quadrilateral
  • Area of Quadrilateral
  • Area of Rhombus
  • Area of Trapezium
  • Area of Parallelogram
  • Perimeter of a Parallelogram

Advanced 2D Shapes in Mensuration

This section explores advanced 2D shapes in mensuration, including the area and properties of sectors, segments of circles, and the geometric characteristics of ellipses, parabolas, and hyperbolas.

• Circle
  • Sector of a Circle
  • Segment of a Circle
• Ellipse
• Parabola
• Hyperbola

Real-life Applications of 2D Mensuration

This section highlights real-life applications of 2D mensuration focusing on how area and perimeter calculations are used in everyday situations.

• Real-Life Applications of Area
• Real-Life Applications of Perimeter

Mensuration of 3D Shapes

This section covers the mensuration of 3D shapes, including the surface area and volume formulas for cubes, cuboids, spheres, cylinders, and cones, with practical applications for each shape.

• 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

This section explores the real-life applications of 3D mensuration, focusing on how surface area and volume calculations are used in daily basis.

• Real-Life Applications of Surface Area
• Real-Life Applications of Volume

Practice Questions and Quizzes on Mensuration

This section provides quizzes and practice questions on mensuration, helping you practice your understanding of the area, perimeter, surface area, and volume through hands-on problem-solving.

• Area and Perimeter Quiz
• Surface Area and Volume Quiz
• Practice Problems on Surface Area and Volume

Mensuration for Aptitude Preparation

This section focuses on aptitude preparation for mensuration, featuring quizzes and practice questions on both 2D and 3D shapes, along with volume and surface area problems to sharpen your problem-solving skills.

• 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 polyhedrons, 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

This section introduces mensuration for programmers, featuring programs to calculate the area of various shapes, including triangles, rectangles, cones, and spheres, as well as their surface areas and volumes.

• Program to find the area of different shapes
• Program to find the area of a triangle
• Program for Area And Perimeter Of Rectangle
• Calculate the volume and surface area of a cone
• Calculate the Volume and Surface area Of the Sphere