# Classifying 3D shapes

#### Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

#### Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

#### Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

0/5
##### Intros
###### Lessons
1. Introduction to Classifying 3D Shapes:
2. What are 3D shapes and what are their properties?
3. Introduction to the main three types of 3D shapes and a review on 2D shapes
4. Prisms: what are the different subtypes and how do you name them?
5. Pyramids: what are the different subtypes and how do you name them?
6. Curved surfaces shapes: what are the different subtypes and how do you name them?
0/17
##### Examples
###### Lessons
1. Naming 3D Shapes
Write the name of the 3D shape.

2. Identifying 3D Shapes by Name
Which 3D shape matches with the name shown below? Choose a multiple choose option.

3. Faces, Vertices, and Edges of 3D Shapes
For each 3D shape, write the number of faces, vertices, and edges.

4. Relationship between 3D Shapes and Face/Vertex/Edge Attributes
Use the table for the attributes of different 3D shapes to answer.
1. What are the formulas for finding a pyramid's number of: faces, vertices, and edges - from using the number of sides in the base?
2. What are the formulas for finding a prism's number of: faces, vertices, and edges - from using the number of sides in the base?
3. Using the formulas found in parts a and b, write the number of faces, vertices and edges for a hexagonal pyramid and a hexagonal prism
###### Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
• #### Easily See Your Progress

We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
• #### Make Use of Our Learning Aids

###### Practice Accuracy

See how well your practice sessions are going over time.

Stay on track with our daily recommendations.

• #### Earn Achievements as You Learn

Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
• #### Create and Customize Your Avatar

Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
###### Topic Notes

In this lesson, we will learn:

• That 3D shapes are shapes with 3 dimensions
• The properties/attributes of 3D shape (face, vertex, edge) and how to count them
• The different types of 3D shapes: prism shapes, pyramid shapes, and curved surface shapes
• All the subtypes of 3D shapes:
• triangular prism, rectangular prism, cube, pentagonal prism, hexagonal prism
• triangular pyramid, rectangular pyramid, square pyramid, pentagonal pyramid, hexagonal pyramid
• cylinder, cone, sphere

Notes:

• 3-dimensional shapes (3D shapes) are also called “solid figures” or “space figures”
• 1-dimensional (1D) is a straight line, 2-dimensional (2D) is a flat shape, and 3-dimensional (3D) is a solid figure like a cube in real life.
• Recall that dimensions are different planes or directions of measurement

• There are three properties for 3D shapes:
• $\qquad \qquad$1. Faces
$\qquad \qquad$2. Edges
$\qquad \qquad$3. Vertices (singular: vertex)
• Faces are sides; the flat outer surfaces enclosed by lines
• Edges are lines where faces meet; touching sides
• Vertices are corners; two or more edges meet/converge at a vertex

• There are three types for 3D shapes:
• $\qquad \qquad$1. Prisms
$\qquad \qquad$2. Pyramids
$\qquad \qquad$3. Curved surface shapes

• Prisms are 3D shapes made by extending a polygon base (shapes with straight edges only)
• All other faces, besides the base, are rectangles
• All prisms have at least 2 pairs of parallel faces
• A cube is a special prism (rectangular prism) where all edges are the exact same length (all faces are squares)

• Pyramids are 3D shapes with only one base
• All other faces, besides the base, are triangles
• All the triangle faces converge and connect at a top point (common vertex)

• Curved surface shapes are 3D shapes with curved surfaces
• These shapes usually have a circle shape as the base
• A cylinder is not a “circular prism” because prisms are made out of extending polygons only (a circle is not a polygon)

• There are special formulas which show the rules between the number of sides in the base shape and the number of faces (f) /vertices (Ve) /edges (E) for a 3D shape: