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3D Shapes Unveiled: Sphere, Hemisphere, Cone, Cuboid, & Cube
Rating: 4.2 out of 5(6 ratings)
4,074 students

3D Shapes Unveiled: Sphere, Hemisphere, Cone, Cuboid, & Cube

Shaping Your Understanding: 3D Spheres, Cones, Cuboids, and More
Created byPrabh Kirpa Classes
Last updated 10/2023
English

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.

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Course content

6 sections • 67 lectures • 6h 2m total length

  • Introduction4:16

    1. What is meant by Sphere?

    2. What is the difference between Sphere and Hemisphere?

    3. How many faces does a sphere and hemisphere have?

    4. What are the examples of spheres in the real world?

    5. What is the formula for calculating the surface area of sphere?

    6. If the radius of a sphere is doubled, what will happen to its surface area?

    7. How can we calculate the volume of a sphere?

    8. What is meant by Hemisphere?

    9. What are the examples of Hemispheres in the real world?

    10. What is the formula for calculating the curved surface area and total surface area of a hemisphere?

    11. What formula is used to determine the volume of a

    12. Hemisphere and how is it related to the volume of sphere?

    13. What is the meaning of a Cone?

    14. How to calculate the surface area of a cone by making use of the height, radius, and slant height of the cone?

    15. What is the relationship between height, radius and

    16. Slant height of a cone?

    17. How to calculate the cost of the canvas required to make the tent?

    18. How to calculate the cost of white-washing the curved surface of a cone?

    19. What is the difference between Right Circular cone and Oblique cone.

    20. What is meant by height and slant height of a right circular cone.

    21. What is the formula to calculate the slant height of a right circular cone, and

    22. The students will understand with the help of examples as to how they can calculate the volume of a cone.

    23. What is the meaning of a cube?

    24. What are the various properties of a cube?

    25. What is the formula to calculate the total surface area and curved surface area of a cube?

    26. How a cube is different from a cuboid?

    27. What are the real world examples of cubes?

    28. How to calculate the volume of a cube?

    29. What a cuboid is.

    30. How to calculate the volume, total surface area, and lateral surface area of a cuboid.

    31. How to calculate the area of four walls of a room.

    32. How to calculate the length of diagonal of a cuboid.

Requirements

  • Basic knowledge of Algebra and Geometric concept

Description

In this hands-on, practical course on 3D Geometrical Shapes, we’ll dive into the world of solid figures like spheres, hemispheres, cones, cubes, and cuboids. You’ll not only learn the math behind these shapes but also how they show up in real-life situations.

We’ll start with spheres—exploring their properties, how they compare to hemispheres, and where you can spot them in the world around you. You’ll learn how to calculate surface area and volume, and what changes when you adjust the radius.

Next, we’ll look at hemispheres, focusing on their curved and total surface areas, volume, and practical uses. From there, we move on to cones, understanding the difference between right circular and oblique cones, and how their height, radius, and slant height all work together. You’ll use this knowledge to solve real-world problems—like figuring out the cost of material for a tent or how much paint is needed for a conical surface.

We’ll also explore cubes and cuboids, understanding their key properties and how to calculate their surface areas, volumes, and even diagonals. You’ll work through practical examples like measuring room walls or comparing different box shapes.

Throughout the course, you’ll apply formulas, solve real problems, and gain a solid grasp of how these 3D shapes work—both in math and in daily life. This course is perfect for anyone looking to strengthen their geometry skills and build confidence in solving real-world geometry problems.

Who this course is for:

  • Students and any individual who enjoys learning about various mathematical concepts

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