Worksheet for matching 2D nets to 3D shapes like cubes, pyramids, cylinders, and cones.

Problem Description:

The task is to match each 2D net (a flat pattern that can be folded into a 3D shape) with its corresponding 3D shape. The nets are labeled as (1), (2), (3), (4), and (5), and the 3D shapes are provided on the right.

Solution Approach:

To solve this problem, we need to visualize how each net can be folded into a 3D shape. Here’s a step-by-step analysis of each net:

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#### Net (1):
- The net consists of two circles connected by a rectangle.
- When folded, the two circles will form the top and bottom faces of a cylinder, and the rectangle will wrap around to form the curved surface.
- Corresponding 3D Shape: Cylinder.

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#### Net (2):
- The net consists of a circle surrounded by a ring of triangles.
- When folded, the circle will form the base of a cone, and the triangles will fold up to form the conical surface.
- Corresponding 3D Shape: Cone.

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#### Net (3):
- The net consists of four triangles arranged in a cross pattern.
- When folded, the four triangles will meet at a single point to form a tetrahedron (a pyramid with a triangular base).
- Corresponding 3D Shape: Tetrahedron.

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#### Net (4):
- The net consists of six squares arranged in a cross pattern.
- When folded, the six squares will form the six faces of a cube.
- Corresponding 3D Shape: Cube.

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#### Net (5):
- The net consists of five triangles arranged in a star pattern.
- When folded, the five triangles will meet at a single point to form a square pyramid (a pyramid with a square base).
- Corresponding 3D Shape: Square Pyramid.

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Final Matching:

1. Net (1) → Cylinder
2. Net (2) → Cone
3. Net (3) → Tetrahedron
4. Net (4) → Cube
5. Net (5) → Square Pyramid

Answer:

\[
\boxed{
\begin{array}{ll}
(1) & \text{Cylinder} \\
(2) & \text{Cone} \\
(3) & \text{Tetrahedron} \\
(4) & \text{Cube} \\
(5) & \text{Square Pyramid} \\
\end{array}
}
\]