Geometric Fundamentals: Exploring Spheres, Hemispheres, Cuboids, Cubes, and Cone

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Language of video: EN (English)

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This course includes:

31936494h 6m on-demand videos

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Level:
Beginner
What are We Going to Teach:

Students will learn about  Spheres, Hemispheres, Cuboids, Cubes, and Cone.

Target Audience:
  • Students and any individual who enjoys learning about various mathematical concepts
Course objective:
  • How to calculate the surface area and volume of sphere?
  • If the radius of a sphere is doubled, what will happen to its surface area?
  • How to calculate the curved surface area and total surface area of a hemisphere?
  • How to calculate the surface area of a cone by making use of the height, radius, and slant height of the cone?
  • What is the formula to calculate the total surface area and curved surface area of a cube?
  • How to calculate the volume, total surface area, and lateral surface area of a cuboid.
Course prerequisites:
  • Basic knowledge of Algebra and Geometric concept

Description :

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.

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Course Content : Expand all sections

  • 6 sections
  • 68 lectures
  • 31936494h 6m total length

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.

After going through this course, the students will understand: What is meant by Sphere? What is the difference between Sphere and Hemisphere? How many faces sphere and hemisphere have? What are the examples of spheres in the real world? What is the formula for calculating the surface area of sphere? If the radius of the sphere is doubled, what will happen to its surface area?

What is the meaning of sphere? What is meant by radius of sphere? What are the properties of a sphere? Which are some examples of spheres in everyday life? What is meant by Hemisphere? What is the difference between Sphere and Hemisphere? How many faces a sphere has? What is meant by surface area of a sphere? What is the formula for calculation of a sphere? What is meant by “π” in the formula for calculation of a sphere?

How to find the surface area of a sphere when radius is given?

How to calculate the surface area of a sphere when diameter of sphere is given?

How to calculate the ratio of surface areas of the two balloons when radius of a spherical balloon is doubled?

How to calculate the radius of a sphere when surface area of sphere is given?

How to calculate the ratio of surface area of moon and earth when diameter of the moon is approximately one-fourth of diameter of the earth?

After going through this course, the students will understand: What is meant by Sphere? What is the difference between Sphere and Hemisphere? How many faces sphere and hemisphere have? What are the examples of spheres in the real world? What is the formula for calculating the surface area of sphere? How to calculate the volume of a sphere?

What is the meaning of sphere? What is meant by radius of sphere? What are the properties of a sphere? Which are some examples of spheres in everyday life? What is meant by Hemisphere? What is the difference between Sphere and Hemisphere? How many faces a sphere has? What is meant by surface area of a sphere? What is the formula for calculation of surface area of a sphere? What is meant by volume of a sphere and how it is calculated? What is meant by “π” in the formula for calculation of a sphere?

How to find the volume of a sphere when radius is given?

How to calculate the amount of water displaced by a solid spherical ball when diameter of the sphere is known?

How to calculate the amount of water displaced by a solid sphere when diameter of the sphere is known?

How to calculate the mass of a metallic ball when the diameter of the metallic ball and density of the metal are given?

What fraction of volume of earth is the volume of the moon when diameter of moon and earth are given?

How to calculate the volume of sphere when surface area of sphere is given?

How to calculate the medicine needed to fill capsule when the diameter of spherical capsule is given?

How to calculate the radius and surface area of new sphere when a large number of spheres are melted to form a new sphere?

After going through this course, the students will understand: What is meant by Hemisphere? What is the meaning of Sphere? What is the difference between Sphere and Hemisphere? How many faces sphere and hemisphere have? What are the examples of Hemispheres in the real world? What is the formula for calculating the curved surface area of hemisphere? How can we calculate the total surface area of hemisphere? What is the formula for calculating the volume of a hemisphere? How it is related to the volume of sphere?

What is the meaning of Hemisphere? Which are some examples of hemispheres in the real world? What is the difference between Sphere and Hemisphere? How many faces a sphere has? What is the formula for calculation of a curved surface area of a hemisphere? How we can calculate the total surface area of a hemisphere?

How to find the curved surface area of a hemisphere when radius is given?

How to calculate the total surface area of a hemisphere when radius is given?

How to calculate the cost of tin-plating the hemispherical bowl on the inside when the rate of tin-plating and inner diameter of hemispherical bowl are given?

How to calculate the outer curved surface area of hemispherical bowl when the thickness and inner radius of the bowl are given?

What is the formula to calculate the volume of hemisphere? How to calculate the volume of a hemisphere when radius is given?

How to calculate the volume of water the hemispherical bowl would contain when the diameter of bowl is given?

How to calculate the quantity of milk (in liters) a hemispherical bowl can hold when the diameter of the bowl is given in cm?

How to calculate the volume of iron used to make the hemispherical tank when the inner radius of tank and thickness of iron sheet are given?

How to calculate the inner surface area of dome and volume of air inside the dome when the total cost and rate of whitewashing the inside of dome are given?

After going through this course, the students will learn: What is the meaning of a Cone? How to calculate the surface area of a cone by making use of the height, radius, and slant height of the cone? What is the relationship between height, radius and slant height? How to calculate the cost of the canvas required to make the tent? How to calculate the cost of white-washing the curved surface of a cone?

What is the meaning of cone? Give two real life examples of shape of a cone. What are the two common types of cones in mathematics? What is meant by a right circular cone? What is the meaning of an oblique cone? In which type of cone, the apex (pointy part) is directly above the centre of the base : Right circular cone or Oblique cone? What is meant by the slant height of a right circular cone? What is the meaning of height of a right circular cone? List the formula which shows the relationship between height, radius, and slant height in a right circular cone.

What is meant by curved surface area of a cone? By which other name curved surface area of cone is known? What is the formula for calculation of curved surface area of a cone? What is meant by total surface area of a cone? What is the formula for calculation of total surface area of a cone? How to derive total surface area of a cone?

How to calculate the curved surface area of cone when diameter of the base and slant height of the cone are given?

How to calculate the total surface area of cone when diameter of the base and slant height of the cone are given?

How to calculate the radius of base and total surface area of cone when curved surface area and slant height are given?

How to calculate the slant height of tent and cost of canvas required to make the conical tent when height and radius of base of tent are given along with the cost of canvas per square meter?

How to calculate the length of tarpaulin required to make conical tent when height and base radius are given alongwith the extra length of material required for stitching margins and wastage in cutting?

How to calculate the cost of white-washing the curved surface of a conical tomb when slant height, base diameter are given along with the cost of white washing per hundred square meter is given?

How to calculate the area of sheet required to make ten jocker’s caps (which are in the form of a right circular cone) when the base radius and height are given?

How to calculate the cost of painting hollow cones when the base diameter and height of one hollow cone are given along with the cost of painting per square meter?

After going though this course, the students will understand what is the meaning of cone. They will understand the difference between Right Circular cone and Oblique cone. They will know what is meant by height and slant height of a right circular cone. The students will understand - What is the formula to calculate the slant height of a right circular cone, and The students will understand with the help of examples as to how they can calculate the volume of a cone.

What is the meaning of cone? Give two real life examples of shape of a cone. What are the two common types of cones in mathematics? What is meant by a right circular cone? What is the meaning of an oblique cone? In which type of cone, the apex (pointy part) is directly above the centre of the base : Right circular cone or Oblique cone? What is meant by the slant height of a right circular cone? What is the meaning of height of a right circular cone? List the formula which shows the relationship between height, radius, and slant height in a right circular cone.

What is the formula for calculation of volume of a cone?

How to calculate the volume of cone when height and slant height of the cone are given?

How to calculate the volume of tent when the base radius of the tent is given along with the canvas area?

How to calculate the volume of right circular cone when radius and height are given?

How to calculate the volume of right circular cone when radius and height are given?

How to calculate the capacity in liters of a conical vessel when the radius and slant height are given in centimeters?

How to calculate the capacity in liters of a conical vessel when the height and slant height are given in centimeters?

How to calculate the radius of base of cone when the height and volume of cone are given?

How to calculate the capacity of conical pit in kiloliters when the diameter and depth are given?

How to calculate the volume of the solid when a right triangle having three sides is revolved about one side?

How to find the area of canvas required to cover a heap of wheat (in conical form) when diameter and height are given?

After going through this course, the students will understand: What is the meaning of a cube? What are the various properties of a cube? What is the formula to calculate the total surface area of a cube? How to calculate the curved surface area of a cube? How a cube is different from a cuboid? What are the real world examples of cubes? How to calculate the volume of a cube?

What is the meaning of a cube? What are the various properties of a cube? What is the formula to calculate the total surface area of a cube? How can we calculate the curved surface area of a cube? How is a cube different from a cuboid? What are some real world examples of cubes? What is the formula to calculate the volume of a cube? How many faces are there in a cube? What is meant by an edge in a cube? What is meant by a vertex in a cube? How many vertices are there in a cube? How many edges are there in a cube? All the six faces of a cube are congruent. What does it mean?

How to calculate the total surface area of a cube when the value of a side length is given?

How to calculate the length of each side of a cube when the total surface area is given?

How can we calculate the the curved surface area of a cube when a side length is given? How to calculate the volume of a cube with the help of a side length?

How can we calculate the cost of tiles which are to be affixed on the outer surface of the cubical water tank excluding the base when the length of outer edge of tank, side length of tile and cost of tile are given.

How to calculate whether cube or cuboid has greater lateral surface area when the value of edge of cubical box and length,width and height of cuboid are given?

How to calculate whether cube or cuboid has smaller total surface area when the value of edge of cubical box and length,width and height of cuboid are given?

After going through this course, the students will learn what a cuboid is. Students will learn how to calculate the volume, total surface area, and lateral surface area of a cuboid. They will also understand how to calculate the area of four walls of a room. They will also learn how to calculate the length of diagonal of a cuboid.

What is the meaning of cuboid? How many faces or sides are there in a cuboid? Whether the opposite faces of a cuboid have different characteristics? List some examples of a cuboid. What is the formula for calculation of volume of a cuboid? We can get the volume of cuboid by multiplying its length, width, and height. What is the another name of width?

What is meant by surface area of a cuboid? What is the formula for calculation of surface area of a cuboid?

What is meant by lateral surface area of a cuboid? What is the formula for calculation of lateral surface area of a cuboid?

How can we calculate the area of four walls of a rectangular room? How many pairs of identical walls are there in a rectangular room?

How can we calculate the length of cuboid when width, height and volume of the cuboid are given? What is the formula for calculating the width of cuboid when volume, length and height is mentioned? How to arrive at height of cuboid when width, length and volume of cuboid is known to us?

What is meant by diagonal of a cuboid? Is it true that diagonal connects two opposite corners of the cuboid? Diagonal of cuboid is also known by some another name. Can you specify? Whether diagonal intersects two pairs of opposite faces? What is the formula for the calculation of length of diagonal?

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