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What do you mean by Three Dimensional Shapes?
We study the three-dimensional shapes in geometry. Three-dimensional shapes refer to the solid shapes or objects that have three dimensions, namely length, breadth, and height. On the contrary, the two-dimensional shapes do not have width or depth.
The main features of three-dimensional shapes are faces, vertices, and edges. The three dimensions form the edges of a 3D geometric shape.
A few examples of three-dimensional shapes are cube, cuboid, sphere, prism, cone, and cylinder.
Examples of Three-Dimensional Shapes in Detail
- Cube: A cube has 6 faces, 12 edges, and 8 vertices.
- Rectangular Prism or Cuboid: A rectangular prism or cuboid has 6 faces, 12 edges, and 8 vertices.
- Sphere: A sphere consists of 0 edges, 0 vertices, and 1 curved face
- Cone: A cone has 1 curved face, 1 edge, and 1 vertex.
- Cylinder: A cylinder has 1 curved face, 2 flat faces, 2 edges, and 0 vertices.
The Sphere as a Three Dimensional Shape
A sphere is a three dimensional round shaped object. All other shapes have edges and vertices. But the sphere has no edges or vertices. It has one curved surface.
A sphere consists of a centre point through which radial lines come out. These radial lines are known as the radius of the sphere and are equidistant from the centre.
There are numerous real-world objects that are spherical in shape. Some examples are balls, eyeballs, planets. Earth is not a perfect sphere. That is why it is called spheroidal in shape. 1
Some Special Features of Sphere
A sphere is a three-dimensional shape with no edge and vertex. The important features of a sphere are as follows:
- Radius: A sphere has a centre point. The distance between the centre to the curved surface of the sphere is known as the radius. Let the centre of the sphere be at point O and the point on the curved surface be P, then the radius of the sphere will be equal to OP.
- Diameter: In mathematical form, diameter is equal to twice the radius of the sphere. In other words, the diameter of a sphere can be described as the distance between the two points on the curved surface, and it is mandatory for the points to pass through the centre of the sphere.
- Circumference: A circumference is any great circle with the plane passing through the centre. It is equal to 6.382 times the radius of the sphere.
- Volume: Since the sphere is a three-dimensional shape, it also occupies some space. This occupied space is termed the volume of the sphere.
- Surface Area: The area that the outer region of the sphere occupies is known as the surface area of the sphere.
Some Mathematical Formula of Spheres
- To calculate the diameter of the sphere: 2 * radius
- To calculate the circumference of the sphere: 2 * pi * radius, where pi = 3.14
- To calculate the surface area of the sphere: 4 * pi * (radius)²
- To calculate the volume of the sphere: 4/3 * pi * (radius)³
Properties of Sphere
- It is a symmetrical shape.
- It has no edges and corners.
- It has only one curved surface.
- The points on the surface are equidistant from the centre of the sphere.
- The sphere has the minimum possible surface area amongst all three-dimensional shapes.
- The sphere has the maximum possible volume of all three-dimensional shapes.
Conclusion
This article mainly focuses on the three-dimensional nature of the sphere. A sphere is a three-dimensional shape or object that has no edges or vertices. This article contains all the information in detail. Several examples are given, the main features of spheres are discussed, and the difference between the circle and spheres has been listed.
By going through this article, one can easily clarify their doubts. We hope that this article proves to be useful.
