Menuration Grade 9 CBSE

Mensuration is derived from the Greek word “Mensuration” meaning “to measure”. There are 2 topics covered under this section:

a) Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral.

b) Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.

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Area – Heron Formula
Key topics include:

• Introduction
• Basics about a Triangle
• Area in Terms of Base & Altitude
• Area in Terms of Base & Sine of Angles
• Area in Terms of Coordinates of Vertices
• Area by Heron’s Formula
• Area of Standard Quadrilaterals
• Rectangle
• Square
• Parallelogram
• Rhombus

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Surface Area and Volume of Solids
Key topics include:

  • Introduction
    • Solid
    • Volume of a Solid
  • Cuboid & Cube
    • Cuboid
    • Surface Area of a Cuboid
    • Volume of a Cuboid
    • Cube
    • Surface Area of a Cube
    • Volume of a Cube
  • Right Circular Cylinder
    • Solid Cylinder
    • Surface Area of a Cylinder
    • Volume of a Cylinder
    • Hollow Cylinder
    • Surface Area of a Hollow Cylinder
    • Volume of a Cylinder
  • Right Circular Cone
    • Definition
    • Surface Area of a Cone
    • Volume of a Cone
  • Sphere
    • Solid Sphere
    • Surface Area of a Sphere
    • Volume of a Sphere
    • Hemisphere
    • Surface Area of a Hemisphere
    • Volume of the Hemisphere
    • Spherical Shell (Hollow Sphere)
    • Surface Area of a Spherical Shell
    • Volume of the Spherical Shell

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