Introduction
Three-dimensional (3D) shapes are solids with three dimensions: length, breadth (width), and height. The word “3D shapes” refers to three dimensions. Every 3D geometric shape takes a certain amount of space depending on its dimensions, and in daily life, we are surrounded by many 3D shapes. Cubes, cuboid forms, cones, and cylinders are a few examples of 3D shapes.
3D shape example
There are several three-dimensional (3D) shapes with various bases, volumes, and surface areas. Let’s talk about each one individually.
Sphere
A sphere has a round shape. It is a 3D geometric shape with equidistant points from its centre at every point on its surface. Though it resembles a spherical, our planet Earth is not one. Our planet has a spheroid form. Although a spheroid resembles a sphere, it differs in radius from the centre to the surface at different points.
Also read : how to calculate volume of a sphere
Cube and cuboid
The three-dimensional (3D) shapes cube and cuboid share the same number of faces, vertices, and edges. The primary distinction between a cube and a cuboid is that a cube has six square faces, whereas a cuboid has six rectangle faces. The volume and surface area of a cube and a cuboid are different. A cube has the same length, breadth, and height, whereas a cuboid has varied length, width, and height.
Cylinder
A cylinder is a 3D form that has one curved surface, two circular faces—one on top and one on bottom—and two round faces. There is a height and a radius to a cylinder. The perpendicular distance between the top and bottom faces of a cylinder is its height.
Cone
Another three-dimensional shape is the cone, which has a flat base (of circular shape) and a pointed apex. The cone’s top, pointed end is referred to as the “Apex.” A cone’s surface is also curved. Similar to a cylinder, a cone can be divided into two types: an oblique cone and a right circular cone.
Pyramid
A pyramid is a polyhedron with a flat-faced, straight-edged base and an apex. They can be divided into regular and oblique pyramids depending on how closely their apex aligns with the middle of the base.
- Tetrahedron is the name given to a pyramid having a triangle-shaped base.
- A square pyramid is a pyramid with a quadrilateral foundation.
- Pentagonal pyramids are pyramids with a pentagonal foundation.
- A hexagonal pyramid is one with a base that resembles a standard hexagon.
Prism
Prisms are solids with flat parallelogram sides and identical polygon ends. The following are some traits of a prism: It has a constant cross-section the entire way through.Prisms come in a variety of shapes, including triangles, squares, pentagons, hexagons, and more. Regular prisms and oblique prisms are two other main categories for prisms.
3D images
The three dimensions of a three-dimensional object are length, width, and height/depth. They therefore have features like faces, edges, and vertices. All objects that we can touch are three-dimensional, and three-dimensional figures have an inner and an outside.
3D shape nets
A flattened three-dimensional solid is referred to as a net. Similar to how a two-dimensional outline can be folded and combined to create a three-dimensional image. To generate three-dimensional shapes, nets are utilized. More than one net may be present in a three-dimensional shape.
Their nets are what create 3D objects. A net is produced if we take a cardboard box, cut the edges, and flatten it. We may also do the opposite, enlarging the flattened box and glueing it back together to create a 3D cuboid-shaped object. Architects, civil engineers, and graphic designers all employ 3D drawing.
Items with three dimensions
Only distinguishing characteristics that distinguish 3D objects from 2D objects are the width and depth. 3D objects occupy space and have distinct three dimensions, length, breadth, and width. A Rubik’s cube, a book, a box, a carrot, an ice cream cone, and a barrel with a cylinder shape are examples of 3D items that are all around us.
Solved examples
Example 1:
If the side length of a cube is 6 cm, calculate its volume.
Solution:
Side length, a = 7 cm, as stated.
We are aware that a cube’s volume equals three cubic units.
Consequently, \({7^3} = 7 \times 7 \times 7 = 343c{m^3}\)
Consequently, a cube has a volume of \({216 cm^3}\).
Example 2:
Identify the entire surface area of a sphere with a 3 cm radius. Use (π = 3.14)
Solution:
Radius, r = 3 cm, is provided.
The following is the formula to determine a sphere’s total surface area:
TSA of a sphere equals four \({r^2}\) square units.
TSA of the sphere is \(4 \times 3.14 \times {3^2}c{m^2}\)
Sphere TSA = 113.04 \({cm^2}\)
Consequently, a sphere has a total surface area of 113.04\({cm^2}\).
Example 3:
Find the volume of a cuboid with the following measurements: 4 cm, 6 cm, and 12 cm.
Solution:
The dimensions of a cuboid are 4 cm, 6 cm, and 12 cm.
We are aware that a cuboid has a volume of lbh cubic units.
Thus, the cuboid’s volume is equal to (4)(6)(12) \({cm^3}\)
V = 288 \({cm^3}\)
Consequently, the cuboid has a 288 \({cm^3}\) volume.
Frequently asked questions
1.What three-dimensional shapes are there?
In geometry, three-dimensional shapes are those that have length, breadth, and height as their three determined dimensions.
2.What kinds of three-dimensional shapes are there?
Cone, cylinder, cuboid, cube, sphere, rectangular prism, and pyramid are some examples of the various three-dimensional shapes.
3.Does the square have three dimensions?
The shape of a square is two dimensional rather than three dimensional.
4.What is the name of a round object that is three dimensional?
A sphere is a three-dimensional circular form. A football is a spherical item, for instance.
5.What kinds of forms have three dimensions?
Numerous examples of three-dimensional shapes can be found in the real world, including Rubik’s cubes.
If you need extra assistance with topic, You can checkout Solid Shapes( 3D Shapes, Euler’s Formula) in our Class 8 Math course, where we delve into these concepts in depth. By referring to this lesson, you’ll gain a deeper understanding of the material and boost your exam performance. Join our online Math tuition now for personalized attention, expert guidance, and regular assessments to track your progress. Don’t hesitate – start acing your Math class today!
Mission Statement
“Empower every student to achieve full potential”
88Guru has been established with the social objective of making quality video-based learning material available to all Indian students. Technology, Connectivity and Social Media are rapidly changing the world of Education and we wish to lead the transformation of the tuition industry in India.
88Guru is the perfect complement to the current tuition model. 88Guru creates a wonderful opportunity for children and parents to bond while engaging in a valuable learning activity. It also provides the complete curriculum at your fingertips for those moments when you need some help at short notice. We believe that this mode of tuition could be transformational, adding hours to a child's day while providing complete control over the learning process.
Every course is taught by the best teachers from India's top schools and conducted in an engaging manner to keep students involved. The e-learning process consists of video-based instructions, computer-graded assignments, and a dashboard which allows the student and parent to track progress.
