Surface Areas and Volumes

This topic explains the formation of a cuboid volumetrically and through surface generation. It defines the terms cube and cuboid and derives the formulas for it. This is followed by exercises and word problems.

This topic explains the creation of a cylinder and defines a right circular cylinder. It elaborates the common terms and formulas for surface area calculations of right circular cylinder.

The topic elaborates on the generation of a cone and the meaning of a right circular cone. It discusses the common terms and formulas for surface area calculations of right circular cones. This is followed by exercises and word problems.

This topic provides the formula of surface area (total and curved) of a sphere and hemisphere through an activity. The co-relation with area of a circle is shown. There are also exercises and word problems help understand the concept better.

This topic explains the generation of a cuboid and derives the formulas for the volume of a cuboid and a cube. This is followed by exercises and word problems for the same.

This topic discusses the formula to find the volume of a cylinder. It draws the correlation between a circle and a cylinder. The exercises and word problems that follow involve multiple concepts like mass and density, hollow cylinders.

This topic covers the experiment that leads to finding the formula for the volume of a cone. Its relationship with a right circular cylinder with the same base radius and height is shown. Word problems for this topic make use of multiple concepts.

This topic discusses the experiment leading to the formula to find the volume of a sphere and a hemisphere. This is followed by exercises and word problems to apply these formulae.