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Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Intro Lesson: a8:33
- Intro Lesson: b4:00
- Intro Lesson: c5:24
- Intro Lesson: d4:17
- Intro Lesson: e4:00
- Lesson: 1a3:21
- Lesson: 1b2:20
- Lesson: 1c3:02
- Lesson: 1d2:55
- Lesson: 2a4:19
- Lesson: 2b4:56
- Lesson: 2c3:57
- Lesson: 2d4:48
- Lesson: 3a3:45
- Lesson: 3b4:27
- Lesson: 3c4:58
- Lesson: 3d3:48
- Lesson: 3e4:32
- Lesson: 3f6:03
- Lesson: 4a4:49
- Lesson: 4b4:00
- Lesson: 4c6:11

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

**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:
$\qquad \qquad$ **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

$\qquad \qquad$

$\qquad \qquad$

$\qquad \qquad$

$\qquad \qquad$

- 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:

- IntroductionIntroduction to Classifying 3D Shapes:a)What are 3D shapes and what are their properties?b)Introduction to the main three types of 3D shapes and a review on 2D shapesc)Prisms: what are the different subtypes and how do you name them?d)Pyramids: what are the different subtypes and how do you name them?e)Curved surfaces shapes: what are the different subtypes and how do you name them?
- 1.
**Naming 3D Shapes**

Write the name of the 3D shape.a)

b)

c)

d)

- 2.
**Identifying 3D Shapes by Name**

Which 3D shape matches with the name shown below? Choose a multiple choose option.a)

b)

c)

d)

- 3.
**Faces, Vertices, and Edges of 3D Shapes**

For each 3D shape, write the number of faces, vertices, and edges.a)

b)

c)

d)

e)

f)

- 4.
**Relationship between 3D Shapes and Face/Vertex/Edge Attributes**

Use the table for the attributes of different 3D shapes to answer.a)What are the formulas for finding a pyramid's number of: faces, vertices, and edges - from using the number of sides in the base?

b)What are the formulas for finding a prism's number of: faces, vertices, and edges - from using the number of sides in the base?

c)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