3D Shapes Unveiled: Sphere, Hemisphere, Cone, Cuboid, & Cube
What you'll learn
- The properties, formulas, and real-world examples of spheres, hemispheres, and cones.
- How to calculate surface areas and volumes for these 3D shapes using relevant formulas.
- The relationships between different dimensions of cones, like height, radius, and slant height.
- The characteristics and calculations for cubes and cuboids, including their surface areas and volumes.
Requirements
- Basic knowledge of Algebra and Geometric concept
Description
In this detailed and practical course on 3D Geometrical Shapes, we will explore the fascinating world of solid figures—Sphere, Hemisphere, Cone, Cube, and Cuboid—and learn how to work with them mathematically and in real-life contexts. We begin with the concept of a sphere, its properties, how it differs from a hemisphere, and where such shapes occur around us. You will learn how to calculate the surface area and volume of a sphere and see what happens to these measurements when the radius changes.
We will then move to hemispheres, examining their curved and total surface areas, volume, and real-world applications. Next, we’ll dive into the cone—what it is, the difference between a right circular and an oblique cone, and how the height, radius, and slant height relate. You'll learn to calculate surface area and volume of cones, and even apply these concepts to problems like finding the cost of canvas for a tent or white-washing a conical surface.
The course will also cover cubes, including their properties, how they differ from cuboids, and how to find their surface areas and volumes. You'll explore real-life cube examples and understand how to calculate the diagonal of a cube or cuboid, as well as how to find the area of four walls of a room.
Throughout the course, students will learn to apply formulas, solve practical problems, and deepen their understanding of how these 3D shapes function in both mathematical and everyday scenarios. This course is ideal for learners who want to build strong conceptual clarity and practical problem-solving skills in geometry.
Who this course is for:
- Students and any individual who enjoys learning about various mathematical concepts
Instructor
Parminder Singh has worked as a legal officer and branch manager with an insurance company owned by the government of India. Partner Puneet has also worked with a government department. Both of them took voluntary retirement and have started providing online education to students. They take pride in providing quality educational services and their aim is to ensure that the students are able to understand each and every question in an easy way. Their goal is to help the leaders of tomorrow learn to succeed today.