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- 3D Shapes

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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