Match each net to its name and 3D representation in this geometry worksheet.

Let's solve the problem step by step.

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Task:

Match each net (2D shape that can be folded into a 3D shape) to its correct name and 3D representation.

We are given:
- Six nets on the left.
- Six 3D shapes on the right.
- Six names in the middle.

We need to match each net to its name and corresponding 3D shape.

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Step 1: Understand Each Shape

Let’s go through each 3D shape and identify its net and characteristics.

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#### 1. Cube
- A cube has 6 square faces, all equal.
- The net must have 6 squares arranged so they fold into a cube.
- The first net (top-left) is a classic "cross" shape with 6 squares — this is a valid cube net.
- The 3D shape on the top-right is a cube.

✔ Match:
- Net 1 → Cube → 3D Cube

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#### 2. Cuboid
- A cuboid has 6 rectangular faces (not necessarily all equal).
- The net should have 6 rectangles, possibly of different sizes.
- Look at the second net from the top: it has a central rectangle with rectangles attached to sides — this looks like a typical cuboid net.
- The 3D shape next to "Cuboid" is a rectangular box (longer than tall), which is a cuboid.

✔ Match:
- Net 2 → Cuboid → 3D Cuboid

Wait — let’s check carefully.

Actually, looking at the nets:

Let’s number the nets from top to bottom:

1. Cross-shaped 6 squares → Cube
2. Central square with triangles on each side → Square-based pyramid
3. Central rectangle with rectangles and triangles on ends → Triangular prism
4. 6 rectangles in a cross → Cuboid
5. Four triangles around a central triangle → Tetrahedron
6. Hexagon with rectangles on sides → Hexagonal prism

Wait — the names are listed in order:

The names are:
1. Cube
2. Cuboid
3. Tetrahedron (triangular based pyramid)
4. Square-based pyramid
5. Hexagonal prism
6. Triangular prism

And the 3D representations are shown on the right in the same order as the names.

So we need to match each net to the correct name and 3D shape.

Let’s list them clearly.

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List of Nets (Left Column):

1. Net 1: Cross of 6 squares → Cube
2. Net 2: One square with a triangle on each side → Square-based pyramid
3. Net 3: Rectangle with two triangles on the ends → Triangular prism
4. Net 4: 6 rectangles in a cross → Cuboid
5. Net 5: Large triangle divided into 4 small triangles → Tetrahedron
6. Net 6: Hexagon with 6 rectangles attached → Hexagonal prism

Now match to the names and 3D shapes.

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Matching Process

Let’s go one by one.

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#### Net 1: Cross of 6 squares
- This is a standard cube net.
- The 3D shape for "Cube" is the first one on the right — a cube.
- So:
- Net 1 → Cube → 3D Cube

✔ Matched.

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#### Net 2: Central square with 4 triangles
- This is a square base with 4 triangular faces → Square-based pyramid
- But the name "Square-based pyramid" is listed as #4.
- The 3D shape for "Square-based pyramid" is the fourth one down — a pyramid with a square base.
- So:
- Net 2 → Square-based pyramid → 3D Square-based pyramid

But wait — the name "Tetrahedron" is listed before "Square-based pyramid".

Let’s recheck the order of names:

From top to bottom:
1. Cube
2. Cuboid
3. Tetrahedron (triangular based pyramid)
4. Square-based pyramid
5. Hexagonal prism
6. Triangular prism

And the 3D shapes are in the same order.

So:
- 1st 3D shape: Cube
- 2nd: Cuboid
- 3rd: Tetrahedron
- 4th: Square-based pyramid
- 5th: Hexagonal prism
- 6th: Triangular prism

Now let’s match each net to the correct name and 3D shape.

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#### Net 1: Cross of 6 squares
→ This is a cube → matches Cube (name #1) → 3D shape #1 ✔

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#### Net 2: Central square with 4 triangles
This is a square-based pyramid — base is a square, 4 triangular faces.
→ Matches Square-based pyramid (name #4) → 3D shape #4 ✔

But Net 2 is the second net.

So we need to draw lines from Net 2 to Square-based pyramid and then to 3D shape #4.

But the worksheet wants us to draw lines from net to name and name to 3D shape.

So:
- Net 2 → Square-based pyramid → 3D shape #4

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#### Net 3: Central rectangle with two triangles on ends
This is a triangular prism: two triangular bases and three rectangular sides.
Wait — actually, this net shows two triangles and three rectangles? No — here we see:
- Two rectangles (side by side)
- A triangle on each end
- So total: 2 triangles + 3 rectangles = 5 faces

Yes — that’s a triangular prism.

So Net 3 → Triangular prism → 3D shape #6

But Triangular prism is name #6.

So:
- Net 3 → Triangular prism → 3D shape #6

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#### Net 4: 6 rectangles in a cross
This is a cuboid net — 6 rectangles, possibly different sizes.
→ Matches Cuboid (name #2) → 3D shape #2

So:
- Net 4 → Cuboid → 3D shape #2

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#### Net 5: Large triangle made of 4 small triangles
This is a tetrahedron — a triangular pyramid with 4 triangular faces.
→ Matches Tetrahedron (triangular based pyramid) (name #3) → 3D shape #3

So:
- Net 5 → Tetrahedron → 3D shape #3

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#### Net 6: Hexagon with 6 rectangles attached
This is a hexagonal prism: two hexagonal bases and 6 rectangular sides.
→ Matches Hexagonal prism (name #5) → 3D shape #5

So:
- Net 6 → Hexagonal prism → 3D shape #5

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✔ Final Matching Summary:

| Net | Name | 3D Shape |
|-----|------|----------|
| Net 1 (cross of squares) | Cube | 3D Cube (shape 1) |
| Net 2 (square with 4 triangles) | Square-based pyramid | 3D Square-based pyramid (shape 4) |
| Net 3 (rectangle with triangles on ends) | Triangular prism | 3D Triangular prism (shape 6) |
| Net 4 (cross of rectangles) | Cuboid | 3D Cuboid (shape 2) |
| Net 5 (large triangle of 4 small triangles) | Tetrahedron | 3D Tetrahedron (shape 3) |
| Net 6 (hexagon with rectangles) | Hexagonal prism | 3D Hexagonal prism (shape 5) |

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✔ Now draw the lines accordingly:

On the worksheet:

- Draw a line from Net 1 to Cube and from Cube to 3D Cube
- Draw a line from Net 2 to Square-based pyramid and from Square-based pyramid to 3D Square-based pyramid
- Draw a line from Net 3 to Triangular prism and from Triangular prism to 3D Triangular prism
- Draw a line from Net 4 to Cuboid and from Cuboid to 3D Cuboid
- Draw a line from Net 5 to Tetrahedron and from Tetrahedron to 3D Tetrahedron
- Draw a line from Net 6 to Hexagonal prism and from Hexagonal prism to 3D Hexagonal prism

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🔍 Explanation:

Each net is a flat pattern that folds into a 3D shape. The key is recognizing how the faces connect.

- Cube: 6 squares, all same size → cross or other arrangements
- Cuboid: 6 rectangles, may vary in size
- Tetrahedron: 4 triangles → forms a pyramid with triangular base
- Square-based pyramid: 1 square base + 4 triangles
- Hexagonal prism: 2 hexagons + 6 rectangles
- Triangular prism: 2 triangles + 3 rectangles

By analyzing face count and shape, we can correctly match.

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✔ Final Answer:

Matching:

1. Net 1 → Cube → 3D Cube
2. Net 2 → Square-based pyramid → 3D Square-based pyramid
3. Net 3 → Triangular prism → 3D Triangular prism
4. Net 4 → Cuboid → 3D Cuboid
5. Net 5 → Tetrahedron → 3D Tetrahedron
6. Net 6 → Hexagonal prism → 3D Hexagonal prism

You can now draw the lines on the worksheet accordingly.