Properties of 3D Shapes Worksheet | Fun and Engaging Year 5 PDF ... - Free Printable

Problem: Identifying and Analyzing 3D Shapes

The task involves identifying the names of 3D shapes and determining their properties (vertices, faces, and edges). Additionally, there is an extension section where you need to identify specific types of prisms and pyramids based on given properties.

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Step-by-Step Solution:

#### Part 1: Identifying Shapes and Their Properties

We will analyze each shape one by one and fill in the required information.

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##### Shape 1:
- Name: Rectangular Prism
- Vertices: 8
- Faces: 6
- Edges: 12

##### Shape 2:
- Name: Triangular Prism
- Vertices: 6
- Faces: 5 (2 triangular faces and 3 rectangular faces)
- Edges: 9

##### Shape 3:
- Name: Cone
- Vertices: 1 (the tip)
- Faces: 2 (one curved surface and one circular base)
- Edges: 1 (the edge around the circular base)

##### Shape 4:
- Name: Triangular Pyramid (Tetrahedron)
- Vertices: 4
- Faces: 4 (all triangular)
- Edges: 6

##### Shape 5:
- Name: Cylinder
- Vertices: 0 (no vertices since it has curved surfaces)
- Faces: 3 (two circular bases and one curved surface)
- Edges: 2 (the edges around the two circular bases)

##### Shape 6:
- Name: Cube
- Vertices: 8
- Faces: 6 (all square)
- Edges: 12

##### Shape 7:
- Name: Sphere
- Vertices: 0 (no vertices since it is a perfectly round shape)
- Faces: 1 (curved surface)
- Edges: 0 (no edges)

##### Shape 8:
- Name: Square Pyramid
- Vertices: 5
- Faces: 5 (one square base and four triangular faces)
- Edges: 8

##### Shape 9:
- Name: Pentagonal Prism
- Vertices: 10
- Faces: 7 (two pentagonal bases and five rectangular faces)
- Edges: 15

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#### Part 2: Extension Section

We are given properties of three shapes (A, B, and C) and need to identify them.

##### Shape A:
- Vertices: 12
- Faces: 8
- Edges: 18

This matches the properties of a Hexagonal Prism:
- A hexagonal prism has 2 hexagonal bases and 6 rectangular lateral faces.
- Vertices: \(2 \times 6 = 12\)
- Faces: \(2\) (bases) + \(6\) (lateral) = \(8\)
- Edges: \(2 \times 6\) (base edges) + \(6\) (connecting edges) = \(18\)

##### Shape B:
- Vertices: 16
- Faces: 10
- Edges: 24

This matches the properties of an Octagonal Prism:
- An octagonal prism has 2 octagonal bases and 8 rectangular lateral faces.
- Vertices: \(2 \times 8 = 16\)
- Faces: \(2\) (bases) + \(8\) (lateral) = \(10\)
- Edges: \(2 \times 8\) (base edges) + \(8\) (connecting edges) = \(24\)

##### Shape C:
- Vertices: 6
- Faces: 6
- Edges: 10

This matches the properties of a Pentagonal Pyramid:
- A pentagonal pyramid has 1 pentagonal base and 5 triangular lateral faces.
- Vertices: \(5\) (base vertices) + \(1\) (apex) = \(6\)
- Faces: \(1\) (base) + \(5\) (lateral) = \(6\)
- Edges: \(5\) (base edges) + \(5\) (edges connecting the apex to the base vertices) = \(10\)

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Final Answers:

#### Part 1:
1. Rectangular Prism: Vertices = 8, Faces = 6, Edges = 12
2. Triangular Prism: Vertices = 6, Faces = 5, Edges = 9
3. Cone: Vertices = 1, Faces = 2, Edges = 1
4. Triangular Pyramid: Vertices = 4, Faces = 4, Edges = 6
5. Cylinder: Vertices = 0, Faces = 3, Edges = 2
6. Cube: Vertices = 8, Faces = 6, Edges = 12
7. Sphere: Vertices = 0, Faces = 1, Edges = 0
8. Square Pyramid: Vertices = 5, Faces = 5, Edges = 8
9. Pentagonal Prism: Vertices = 10, Faces = 7, Edges = 15

#### Part 2:
A) Hexagonal Prism
B) Octagonal Prism
C) Pentagonal Pyramid

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Final Boxed Answers:

\[
\boxed{
\begin{array}{c}
\text{A) Hexagonal Prism} \\
\text{B) Octagonal Prism} \\
\text{C) Pentagonal Pyramid}
\end{array}
}
\]