? Nets of 3D Shapes | KS3 Maths | Beyond (teacher made) - Free Printable

Problem Description:

The task involves identifying the 3D shapes that can be formed from given 2D nets. A net is a 2D pattern that can be folded to form a 3D shape. The goal is to match each net with the corresponding 3D shape.

Solution Approach:

1. Understand Each Net: Analyze the structure of each 2D net and visualize how it can be folded into a 3D shape.
2. Identify Key Features: Look for specific patterns in the nets that correspond to well-known 3D shapes (e.g., cubes, cylinders, pyramids, etc.).
3. Match Nets to Shapes: Write down the name of the 3D shape that each net represents.

Step-by-Step Analysis:

#### Left Worksheet:
1. First Net:
- Pattern: Six squares arranged in a cross shape.
- Shape: This is the net of a cube.

2. Second Net:
- Pattern: Two rectangles connected by a series of smaller rectangles.
- Shape: This is the net of a cuboid or rectangular prism.

3. Third Net:
- Pattern: Two circles connected by a rectangle.
- Shape: This is the net of a cylinder.

4. Fourth Net:
- Pattern: One circle connected to a sector of a larger circle.
- Shape: This is the net of a cone.

5. Fifth Net:
- Pattern: Four triangles connected to a square.
- Shape: This is the net of a square pyramid.

6. Sixth Net:
- Pattern: Five triangles connected to a pentagon.
- Shape: This is the net of a pentagonal pyramid.

7. Seventh Net:
- Pattern: Four triangles connected to a triangle.
- Shape: This is the net of a tetrahedron (a triangular pyramid).

#### Right Worksheet:
1. First Net:
- Pattern: Six rectangles arranged in a cross shape.
- Shape: This is the net of a cuboid or rectangular prism.

2. Second Net:
- Pattern: Two circles connected by a rectangle.
- Shape: This is the net of a cylinder.

3. Third Net:
- Pattern: One circle connected to a sector of a larger circle.
- Shape: This is the net of a cone.

4. Fourth Net:
- Pattern: Four triangles connected to a square.
- Shape: This is the net of a square pyramid.

5. Fifth Net:
- Pattern: Four triangles connected to a triangle.
- Shape: This is the net of a tetrahedron (a triangular pyramid).

6. Sixth Net:
- Pattern: Eight equilateral triangles arranged in a specific pattern.
- Shape: This is the net of an octahedron.

7. Seventh Net:
- Pattern: Twelve equilateral triangles arranged in a specific pattern.
- Shape: This is the net of an icosahedron.

Final Answer:

#### Left Worksheet:
1. Cube
2. Cuboid/Rectangular Prism
3. Cylinder
4. Cone
5. Square Pyramid
6. Pentagonal Pyramid
7. Tetrahedron

#### Right Worksheet:
1. Cuboid/Rectangular Prism
2. Cylinder
3. Cone
4. Square Pyramid
5. Tetrahedron
6. Octahedron
7. Icosahedron

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Left Worksheet:} \\
1. \text{Cube} \\
2. \text{Cuboid/Rectangular Prism} \\
3. \text{Cylinder} \\
4. \text{Cone} \\
5. \text{Square Pyramid} \\
6. \text{Pentagonal Pyramid} \\
7. \text{Tetrahedron} \\
\\
\text{Right Worksheet:} \\
1. \text{Cuboid/Rectangular Prism} \\
2. \text{Cylinder} \\
3. \text{Cone} \\
4. \text{Square Pyramid} \\
5. \text{Tetrahedron} \\
6. \text{Octahedron} \\
7. \text{Icosahedron} \\
\end{array}
}
\]