Geometry Nets Information Page - Free Printable

The task in the image is to match the 2D nets (unfolded shapes) on the left with their corresponding 3D geometric solids on the right. Below, I will explain how to solve this problem step by step.

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Step 1: Understand the Problem

- A net is a 2D pattern that can be folded to form a 3D shape.
- The goal is to identify which net corresponds to which 3D solid.

Step 2: Identify Each Solid and Its Properties

Here are the solids and their key properties:

1. Cube:
- A cube has 6 square faces.
- All edges are of equal length.
- The net must have 6 squares arranged in a way that allows them to fold into a cube.

2. Cuboid:
- A cuboid has 6 rectangular faces (with opposite faces being identical).
- The net must have 6 rectangles arranged in a way that allows them to fold into a cuboid.

3. Tetrahedron (Triangular-Based Pyramid):
- A tetrahedron has 4 triangular faces.
- All faces are equilateral triangles.
- The net must have 4 triangles arranged in a way that allows them to fold into a tetrahedron.

4. Square-Based Pyramid:
- A square-based pyramid has a square base and 4 triangular faces.
- The net must have 1 square and 4 triangles arranged around it.

5. Hexagonal Prism:
- A hexagonal prism has 2 hexagonal bases and 6 rectangular lateral faces.
- The net must have 2 hexagons and 6 rectangles arranged in a way that allows them to fold into a hexagonal prism.

6. Triangular Prism:
- A triangular prism has 2 triangular bases and 3 rectangular lateral faces.
- The net must have 2 triangles and 3 rectangles arranged in a way that allows them to fold into a triangular prism.

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Step 3: Match the Nets to the Solids

#### Cube
- The net for a cube must have 6 squares.
- Look for a net with 6 squares arranged in a cross-like pattern or another valid configuration for a cube.
- The first net on the left matches this description.

#### Cuboid
- The net for a cuboid must have 6 rectangles.
- Look for a net with 6 rectangles arranged in a way that allows them to fold into a cuboid.
- The second net from the bottom on the left matches this description.

#### Tetrahedron (Triangular-Based Pyramid)
- The net for a tetrahedron must have 4 triangles.
- Look for a net with 4 triangles arranged in a way that allows them to fold into a tetrahedron.
- The third net from the top on the left matches this description.

#### Square-Based Pyramid
- The net for a square-based pyramid must have 1 square and 4 triangles.
- Look for a net with 1 square and 4 triangles arranged around it.
- The second net from the top on the left matches this description.

#### Hexagonal Prism
- The net for a hexagonal prism must have 2 hexagons and 6 rectangles.
- Look for a net with 2 hexagons and 6 rectangles arranged in a way that allows them to fold into a hexagonal prism.
- The bottom net on the left matches this description.

#### Triangular Prism
- The net for a triangular prism must have 2 triangles and 3 rectangles.
- Look for a net with 2 triangles and 3 rectangles arranged in a way that allows them to fold into a triangular prism.
- The fourth net from the top on the left matches this description.

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Step 4: Verify the Matches

- Double-check each net to ensure it folds correctly into the corresponding solid.

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Final Answer

The correct matches are as follows:

1. Cube → First net on the left
2. Cuboid → Second net from the bottom on the left
3. Tetrahedron (Triangular-Based Pyramid) → Third net from the top on the left
4. Square-Based Pyramid → Second net from the top on the left
5. Hexagonal Prism → Bottom net on the left
6. Triangular Prism → Fourth net from the top on the left

Thus, the solution is:

\[
\boxed{
\begin{array}{ll}
\text{Cube} & \text{First net on the left} \\
\text{Cuboid} & \text{Second net from the bottom on the left} \\
\text{Tetrahedron} & \text{Third net from the top on the left} \\
\text{Square-Based Pyramid} & \text{Second net from the top on the left} \\
\text{Hexagonal Prism} & \text{Bottom net on the left} \\
\text{Triangular Prism} & \text{Fourth net from the top on the left}
\end{array}
}
\]