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.

Click on each topic to know more details.

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

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