Geometry shape names 3d: Three Dimensional Shapes (3D Shapes)

Three Dimensional Shapes (3D Shapes)

What Are Three Dimensional Shapes?

In geometry, a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions— length, width, and height. Unlike two dimensional shapes, three-dimensional shapes have height, which is the same as thickness or depth. Three dimensional is also written as 3D and hence, these figures are commonly called 3D shapes too. All three dimensional figures occupy space, which is measured in terms of volume.

In 3D shapes, 3D refers to three-dimensionality. Dimensions can usually be thought of as measurements in a direction. Length, width, and depth can be considered dimensions.

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History of 3D Shapes

All 3D shapes have three measurements: length, width, and height. Shapes look different from different directions. All 2D shapes are only measured by their length and width. Aristotle said that 2D shapes are lines and not figures or bodies. They are always described as extensions of lines or areas bounded by lines. Conversely, 3D shapes have volume.

By convention, the first three dimensions are represented as spatial dimensions x-y-z. Width, height, and depth are their respective names. 

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Examples of Three Dimensional Shapes

A cube, rectangular prism, sphere, cone, and cylinder are the basic three dimensional figures we see around us. 

Real-life Examples of Three Dimensional Shapes

3D shapes can be seen all around us. We can see a cube in a Rubik’s Cube and a die, a rectangular prism in a book and a box, a sphere in a globe and a ball, a cone in a carrot and an ice cream cone, and a cylinder in a bucket and a barrel around us. 

Some real-life examples of 3D shapes are listed below:

1. Cone: Traffic cones and birthday caps are cone-shaped.

2. Triangular prism: A tent is the shape of a triangular prism.

3. Square pyramid: The pyramid of Giza in Egypt is the shape of a square pyramid.

4. Rectangular prism: Boxes such as shoe boxes and cereal boxes are shaped like rectangular prisms. 

Attributes of Three Dimensional Shapes

There are three attributes of a three dimensional figure: face, edge, and vertex. Let’s understand three dimensional shapes and their properties in detail.

Face: Each single surface, flat or curved, of the 3D figure is called its face.

Edge: The line, where two faces of the 3D figures meet, is called its edge.

Vertex: Each corner, where three faces of 3D figures meet, is called its vertex. Vertices are the plural of the vertex.

List of Three Dimensional Shapes

Here’s a list of the names of three dimensional shapes with their pictures, and attributes.

Sphere

All the points on a sphere are at the same distance from its center. The Earth is like that in some ways, except for one: when you look at it from far away, it looks like a sphere, but when you look at it from up close, it is not truly round. A sphere has several characteristics:

• It is perfectly symmetrical and shaped just like a ball.
• It also has length besides radius, diameter, circumference, volume, and area.
• The distance from the center to every point on the surface of a sphere is equal.
• No edges or vertices are found on its one face.
• Since it does not have a flat face, it is not a polyhedron.

Cube and Cuboid

A cube and a cuboid are both big blocks. The difference between them is that a cube has square faces, while a cuboid has rectangular faces.

Cylinder

A cylinder has two circular faces on both its ends and one curved surface along its length. It has height and radius. A cylinder’s height is perpendicular to its surface, from top to bottom. The following are some fundamental characteristics of cylinders:

• The face of a cylinder is curved.
• From the bottom to the top, its shape remains the same.
• Two identical ends shape the object’s three-dimensional form. The ends can be round or oval.
• A right cylinder has the centers of its circular bases along the same line, while an oblique cylinder has the centers of its bases along different lines.

Formula of Three Dimensional Shapes

Net of Three Dimensional Shapes

A net is a pattern made when the surface of a 3D figure is laid out flat, showing each face of the figure.

3D figures can have more than one net pattern. A few 3D shapes names and their nets are shown below:

Fun Facts:
All three dimensional shapes are made up of two dimensional shapes.

Difference between 2D Shapes and 3D Shapes

Let’s differentiate between 2D and 3D shapes by understanding two dimensional and three dimensional shapes and their properties.

Solved Examples of Three Dimensional Shapes

Example 1: Which of the following is a 3D shape?

Cone Square Sphere Cuboid Cylinder Parallelogram

Solution:

Cone Sphere Cuboid Cylinder

Example 2: State whether the following are true or false.

1. A three-dimensional shape has 3 dimensions.
2. Three-dimensional shapes are also called flat shapes.
3. Three-dimensional shapes occupy space.
4. All three-dimensional shapes have flat faces.

Solution:

1. True
2. False. Three-dimensional shapes are also called solid shapes.
3. True
4. False. Sphere is a three-dimensional shape with no flat face.

Example 3: Complete the table with attributes of the 3D shapes listed.

Solution:

Example 4: Match the object with its shape.

Solution:

1. (a) – (iii)
2. (b) – (i)
3. (c) – (iv)
4. (d) – (ii)

Example 5: Calculate the surface area of a cuboid with a width of 4 units, length of 3 units, and height of 5 units. 

Solution:

Given, the cuboid has three units of length, four units of width, and five units of height.

Surface area of the cuboid $= 2 \times (\text{lw} + \text{wh} + \text{lh})$ square units

$= 2 \times (\text{lw} + \text{wh} + \text{lh})$

$= 2[(3 \times 4) + (4 \times 5) + (3 \times 5)]$

$= 2(12 + 20 + 15)$

$= 2(47)$

$= 94$ square units

Therefore, the surface area of the given cuboid is 94 square units.

Example 6: Jane likes to drink milk from a cylinder-shaped glass. Her glass has 15 units of height and 3 units of base radius. How much milk can she fill in the glass?

Solution:

Given that the height of the glass is 15 units, and the radius of the base is 3 units. 2$

Therefore, Jane can fill approximately 424 cubic units of milk in her glass.

Practice Problems of Three Dimensional Shapes

1

Which shape has 2 flat faces and one curved face?

Cylinder

Sphere

Cone

Cuboid

Correct answer is: Cylinder
Cylinder has two flat faces which are a circle in shape and one curved face.

2

How many square shapes does the net of a cube have?

4

6

8

10

Correct answer is: 6
Cube has 6 faces that are squares. So, the net of the cube will have 6 square shapes.

3

Which of the following has no edge?

Cone

Cylinder

Cuboid

Sphere

Correct answer is: Sphere
Sphere has one face. So it has no edge.

4

Which of the given shapes is NOT a 3D shape?

Trapezoid

Prism

Pyramid

Cube

Correct answer is: Trapezoid
Trapezoid is a 2D shape with four sides with one pair of opposite sides parallel to each other and the other two sides of it are non-parallel.

5

What is the intersection of two faces of a solid figure called?

Vertex

Side

Face

Edge

Correct answer is: Edge
Edges are the line segments that connect two faces. The faces of the cube intersect at lines called edges. Figures with multiple edges are called solid figures. The intersection of several planes is called a vertex.

6

Three-dimensional geometric figures are called ________.

shapes

solids

faces

polygons

Correct answer is: solids
Three-dimensional geometric figures are called solids.

7

In mathematics, what is a solid, pointed figure joined to a vertex by a curved surface with a flat, round base?

Cone

Sphere

Cylinder

Pyramid

Correct answer is: Cone
Cones are three-dimensional solids made up of a circular base joined to a single point (called the vertex) by curved sides. Alternatively, you can think of a cone as a circular pyramid.

Frequently Asked Questions of Three Dimensional Shapes

What are the different types of 3D figures?

Cube, cuboid, cylinder, sphere, cone, prism, and pyramids.

What are the attributes of three-dimensional shapes?

Three-dimensional shapes have 3 dimensions—length, width, and depth. As a result of these dimensions these shapes have attributes of faces, edges and vertices.

What is an edge?

An edge is a line where two faces of a three-dimensional shape meet. 

For example, a cube has 12 edges.

What are vertices?

Vertices are corners where three faces meet. For example, a cuboid has 8 vertices.

What is the use of volume of a three dimensional shape?

Volume helps to find the space occupied by the given shape.

A cube net is made up of how many squares?

A cube net is made up of six squares.

List of All Kinds of 3D Shapes in English • 7ESL

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What are 3D shapes? Ever wonder what art is without shapes? Surely, it is something we cannot fathom. With art, it comes with shapes. Whether we draw buildings, nature, people, or other pieces, shapes have always been there and are an integral part of what art is. Whether a square, circle, triangle, or rectangle, every art piece will always have a shape. All of these shapes are considered 2d shapes, but we all know there is more to them. Shapes that have length, width, and height are called 3D shapes.

Now, if you have a child interested in art and looking for a way to teach them about 3-D shapes, you’ve come to the right post. Here we guide you with information as to how you can explain what a 3D shape is.

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3D Shapes

To answer the question, “What is 3d shape?”, 3D shapes are three-dimensional shapes and object that is different from 2D shapes. These are shapes that have height, width, and length. It has thickness and depth. In short, these shapes are not flat—a part of the geometric shapes we see daily.

Properties of 3D Shapes

To explain more, 3D shapes have properties that set them apart from other shapes. You should remember these properties to identify if a particular shape is 2D or 3D. Below are the following properties.

• Faces

Each 3D shapes have a face. Faces refer to any flat surface or curved surfaces that can be seen in the shape. Think of a box. If you are going to count the sides of the box, you’ll going to see that it has six sides. These sides are referred to as faces.

• Edges

Now that you’ve learned what a face is let’s go to the second property, the edge. To put it simply, an edge is where two faces meet together. Just look at the box and try to find the part where the faces meet.

• Vertices

The third and last property of a 3D shape is the vertices. It refers to the pointy part where the edges meet. Often edges and vertices interchange. Imagine you are walking, and your toe hits the pointy part of the cabinet. We usually say that we hit the edge, but it is the vertices in geometry.

Different 3D Shapes

Now that you’ve learned the different properties of 3D shapes let us meet them individually.

1. Sphere is the most common example of a 3D shape. You might be wondering where are the edges of the sphere. There is none. The sphere has zero edges and vertex, but it has a continuous face, allowing it to be a 3Dshape. The perfect example of it is a ball.

2. Cube. I know you’re familiar with a Rubik’s cube. It is a very example of a cube. It has 6 faces of a square, 12 edges, and 8 vertices.

3. Pyramid. Yes, the famous pyramid of Egypt is considered a 3D shape. It has 5 faces, 8 edges, and 5 vertices.

4. Cylinder. is a 3D shape with 2 flat surface at the top and the bottom and a continuing surface that is curved. It has 3 faces, 2 edges and 0 vertex.

5. Cone. Think of an ice cream cone. It has 2 faces, 1 edge, and 1 vertex. You might be wondering where are the faces on this shape. The first face is a circular shape at the bottom. The second shape is tringle making the cone.

6. Cuboid. The cylinder has 3 faces. The top and bottom shapes are considered the face, making it two. The third face is the curved body of the shape. It has 2 edges but does not meet, so it has no vertices.

7. Torus. It is like a donut. 2 oval shapes put together and connected with a hole at the center. Similar to a circle, it does not have edges and a vertex but has 1 surface.

List of 3D Shapes

List of common 3D Shapes:

• Cube
• Cuboid
• Cylinder
• Sphere
• Cone
• Pyramid
• Prism
• Torus

List of all kinds of 3D Shapes:

• Cube
• Cuboid
• Cylinder
• Hemisphere (half sphere)
• Tetrahedron (Triangular pyramid)
• Pentahedron
• Square pyramid (Square based pyramid)
• Sphere
• Cone
• Polyhedron
• Triangular prism
• Pentagonal prism
• Hexagonal prism
• Heptagonal Prism
• Octagonal prism
• Nonagonal prism
• Dodecagonal prism
• Icosahedron
• Ellipsoid
• Pyramid
• Hexahedron
• Heptahedron
• Octahedron
• Nonahedron
• Dodecahedron
• Prism
• Torus

Facts About 3D Shapes

Now that you’ve learned about the basics of a 3D shape, here are some interesting facts you can read to add some knowledge.

• Traffic cones are examples of Cones.
• Euclid is the father of geometry.
• Vertices are the plural form of the vertex.
• The perfect example of a cylinder is a soda can.
• The space that a 3d shape occupies is called volume.
• The rhombicosidodecahedron is the largest 3D shape in the world. It has faces of 20 triangles, 30 squares, 12 pentagons, 60 vertices, and 120 edges.

Now that you’ve learned what 3D shapes are, surely you’ll be able to explain this to your child and explore these shapes and turn them into a magnificent piece. You see, these shapes can be found around us. Probably before, you’ll just interact like nothing, but now that you’ve learned it, surely you and your child will see the world differently like you’ve never seen before.

3D Shapes | Image

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Last Updated on September 16, 2022

Categories Visual Vocabulary

Creative trident.

Visual geometry with Cabri 3D — Teacher’s newspaper

You won’t surprise anyone with a computer in a mathematics lesson. True, despite the abundance of electronic materials, interesting and useful applications are still not enough. Therefore, each computer novelty, successfully shown in the lesson, arouses genuine interest among students.

The entire publication is in PDF format: Download/View (Viewing requires Adobe Reader or any equivalent).

On the Internet at www.cabri.com you can download a wonderful program with the same name, which can work wonders. But about the program a little later, but for now let’s remember the traditional lessons of the 7th grade, in which students get their first ideas about geometry.

The beginnings of planimetry: the simplest figures, axioms, theorems. Like a snowball, more and more new concepts are accumulating, penetrating into the unprepared consciousness of a schoolchild. Chalk, ruler and board, on which, out of nowhere, appear angles, triangles, circles and other geometric shapes. The blackboard is a faithful assistant to the teacher, like a stern guard, it limits children’s perception to a single fixed plane.

Where is the space? After all, initially the child acquires his life experience in it. He is constantly surrounded by, in computer terms, 3D objects. House, trees, animals — everything has its own shape, size and position in space.

Perhaps, school planimetry should be more often correlated with space (at least virtual), in which amazingly beautiful, perfect and voluminous figures “live”. True, it is difficult to draw such “residents” on the blackboard, unless, of course, you are an artist and a professional draftsman. So, you just need to use the right program.

The computer program Cabri3Dv2, like an original and industrious master, can do everything: draw colorful pictures consisting of spatial and flat figures; rotate them in space; perform various symmetrical constructions; turn bodies into sweeps; build all kinds of projections; create architectural masterpieces from combinations of geometric shapes. Numerous actions occur quickly, dynamically and visually!

Opening a new file, a plane appears on the screen, in which the “tridental basis of the Cartesian space” is placed in the most prominent place — length, width and height (later students will learn that its parts are unit coordinate vectors). On the “inverted blackboard” we can draw any geometric shapes: a point, a segment, a ray, an angle, and so on. Flat «inhabitants» of space do not yet have a height — they will «grow» later, acquiring bizarre dynamic forms. In the meantime, paint them in bright colors, choose the thickness and style of the lines.

We mark a point on the plane, then the second, and then a straight line appears. Based on a visual picture, it is easy to build a dialogue with the class (Fig. 1). Where is the line located? What points define it? What parts does it divide the plane into? Which vertices of the triangle lie in different half-planes? Why?

Do you recognize? Yes, these are the questions we ask in the lesson, presenting the material of one of the program topics of school geometry.

The restless moving plane not only bears familiar figures, but gives rise to more and more new ones. Here we see a ball familiar from childhood — a sphere. Let’s cut it with a plane, and a circle will appear (Fig. 2). How is each point of the circle located relative to its center? What about the center of the ball? (The center of the ball can be fixed with the corresponding button.)

It is easy to build anything in the starting plane. We need some figure — we build a figure, a combination of them is required — the computer will draw it instantly (Fig. 3). And then you can supplement the drawing by drawing the elements of the resulting combination. Did you need a drawing for some task or do you need to come up with a task based on the finished drawing? Cabri3D will help in this case too! Its coordinate trident lies in the plane and generates forms, guarding the two-dimensional realm of geometric figures.

The program is also indispensable in high school, when geometry passes into space. When building on a school board, complex drawings require a lot of time and effort. On the computer — faster and easier, and most importantly, brighter and more diverse. Points, straight lines, planes are born before the eyes of students (Fig. 4, 5). We combine, discuss, argue, look for answers to numerous questions.

Gradually spatial figures take on new forms, there is a progressive development of the imagination, intuition and fantasy of students. Tasks become more complex, new configurations appear. The computer helps visualize combinations of figures, their sections by planes, reveals the properties and dependencies between elements (Fig. 6), realizing the most incredible ideas of students and teachers. With the help of this program, for almost every lesson, you can prepare a presentation in advance for a particular educational goal. It is not difficult to make a chain of slides: copy the designed drawings, select a set of questions and tasks — and here is an interactive tutorial that can be used in more than one geometry lesson.

The program is useful not only at the lesson, but also at an additional lesson, circle, elective. Indeed, if you need to talk about the complete filling of space using polyhedra, then again you can use Cabri3D. What you can’t do with it: a construction of cubes that do not leave a single crack in space, a sequence of decreasing dodecahedrons (Fig. 7.8) and much more. The spirit captures from the inexhaustible possibilities of a computer workaholic!

If you go to the website of the German professor Heinz Schumann (www.mathe-schumann.de), who has been using this program brilliantly for many years, then a lot of all kinds of geometric models will open. Modeling figures is very important for studying school geometry. This site has a video clip that explains in detail how to work in the program. Open the link http://www.mathe-schumann.de/geometrie-seite/videoclips.html, watch, study and create lively, beautiful and visual geometry with your students in the classroom.

Aleksey AZEVICH, Associate Professor, Department of Informatization of Education, Moscow State Pedagogical University, Moscow

geometry — How to calculate a uniform increase in a complex 3D figure

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Good afternoon, there is some abstract 3D object of complex geometry.
Let’s say its volume is V₁ cubic meters.

The task is to calculate the amount (shown in yellow in the illustration) by which each vertex of the object must be shifted in order to obtain an object with a new volume V₂.

Is there any formula to find this value?
In the English segment, this operation is called offset.

• 3d
• geometry
• objects
• three.js
• formulas

10

Disclaimer: with three.js didn’t work.

New position for each vertex:

 (kx, ky, kz). Where
k = cube_root_of(V2/V1)
 

That is, the coordinates of each vertex must be changed to

 ((k - 1)x, (k - 1)y, (k - 1)z)
 

And then shift all the coordinates so that, for example, the centers of gravity of the old and new figures coincide, or the circumscribing box expands/shrinks uniformly in the directions of the coordinate axes.

But this already depends on additional conditions of the problem not included in the question.