Stuck on the Net — 3D Shapes (Year 5) | CGP Plus - Free Printable

Let's solve the problem step by step.

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Task:

Match each net (2D shape that folds into a 3D shape) to the correct 3D shape, and then describe what faces each 3D shape has.

We are given:
- 7 nets on the left.
- 6 3D shapes in the middle (Cube, Square-based pyramid, Triangular prism, Cuboid, Cylinder, Pentagonal prism, Triangle-based pyramid).
- A blank column for Faces — we need to describe the faces of each 3D shape.

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Step 1: Identify the 3D shape from each net

We’ll go through each net and determine which 3D shape it forms when folded.

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#### Net 1:
```
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□□□□
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```
This is a cross-shaped net with six squares.
✔ This is the net of a Cube.

> Cube: 6 square faces.

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#### Net 2:
```
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□□□
□
```
This looks like a central square with four squares attached to its sides — but this is actually a cuboid if all faces are rectangles, or cube if all are squares.

Wait — let’s look more carefully.

Actually, this is not a cube. It's a rectangular cuboid net. But wait — there are only 5 rectangles? No — it's actually:

It's a central rectangle with two rectangles on top and bottom, and one on each side? Wait, no — the image shows:

```
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□□□
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```

That’s 4 squares in a row, with one on top and one on bottom of the center square → total 6 squares.

But this is not a cube net — because the cubes are arranged in a cross, but not symmetrically.

Wait — actually, this is a valid net for a cube — yes, it is a standard "cross" net.

But we already matched the cross net to the cube?

Wait — there are two cross-like nets?

Let me list them again.

Looking at the image:

1. First net: long rectangle with two triangles on ends → this is a triangular prism net.

Wait — let's go one by one.

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Let me re-analyze each net carefully:

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🔹 Net 1:

```
▲
□□□
▲
```
Wait — no, looking at the actual image:

Actually, based on the layout:

#### ✔ Net 1: Two triangles on the ends of a rectangle strip (3 rectangles)
```
△
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△
```
This is a triangular prism net — two triangular bases and three rectangular sides.

So: Triangular prism

> Faces: 2 triangular faces, 3 rectangular faces

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#### ✔ Net 2: Cross-shaped with 6 squares
```
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□
```
Yes — this is a cube net.

> Cube: 6 square faces

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#### ✔ Net 3: One triangle with three rectangles attached to its sides
```
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□□
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```
No — it's a triangle with three rectangles around it.

Wait — actually, it’s a square-based pyramid net?

No — square-based pyramid has a square base and 4 triangles.

Wait — this net has:
- One triangle in the center
- Three rectangles attached to each side?

No — looking at the image: it’s a triangle with three rectangles attached to its sides.

But that doesn’t make sense.

Wait — actually, the third net is:

```
△
△△
△
```
No — the image shows:

It’s a large triangle divided into smaller ones?

Wait — no. The third net is:

A central triangle with three smaller triangles attached to each side.

Yes! That’s a tetrahedron — which is a triangular-based pyramid.

So: Triangle-based pyramid (Tetrahedron)

> Faces: 4 triangular faces

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#### ✔ Net 4: A long rectangle with two rectangles on the ends (like a rectangle with flaps)
```
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□□□□
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```
This is a cuboid (rectangular prism) net — 6 rectangles.

> Cuboid: 6 rectangular faces

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#### ✔ Net 5: A central square with four triangles attached to each side
```
△
△ △
△
```
Yes — this is a square-based pyramid — one square base and 4 triangular faces.

> Square-based pyramid: 1 square face, 4 triangular faces

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#### ✔ Net 6: A rectangle with two circles on the ends
```
○
□□□
○
```
This is a cylinder net — rectangle (side) and two circles (bases).

> Cylinder: 2 circular faces, 1 curved surface (but in net, it's a rectangle)

But note: In terms of faces, cylinders have:
- 2 flat circular faces
- 1 curved surface (not a face in traditional polyhedra, but often described as a curved face)

But in primary math, they may say:
- 2 circular faces
- 1 curved surface (not counted as a face in some contexts)

But since the question says "what faces", we can say:
> Cylinder: 2 circular faces and 1 curved surface (or just 2 circular faces, depending on level)

But usually, faces refer to flat surfaces.

So: 2 circular faces (and a curved surface, but not a face)

So: 2 circular faces

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#### ✔ Net 7: A pentagon with five rectangles attached to each side
```
□
□□□□
□
```
Wait — no. The last net is:

A pentagon in the center with five rectangles attached to each side.

Yes — that’s a pentagonal prism.

> Faces: 2 pentagonal faces, 5 rectangular faces

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

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Final Matching:

| Net | 3D Shape | Faces |
|-----|---------|-------|
| 1: Two triangles + 3 rectangles | Triangular prism | 2 triangular faces, 3 rectangular faces |
| 2: Cross of 6 squares | Cube | 6 square faces |
| 3: Central triangle + 3 triangles | Triangle-based pyramid | 4 triangular faces |
| 4: Long rectangle + 2 rectangles | Cuboid | 6 rectangular faces |
| 5: Square + 4 triangles | Square-based pyramid | 1 square face, 4 triangular faces |
| 6: Rectangle + 2 circles | Cylinder | 2 circular faces |
| 7: Pentagon + 5 rectangles | Pentagonal prism | 2 pentagonal faces, 5 rectangular faces |

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Now fill in the table:

| Net | 3-D Shape | Faces |
|-----|----------|--------|
| 1 | Triangular prism | 2 triangular faces, 3 rectangular faces |
| 2 | Cube | 6 square faces |
| 3 | Triangle-based pyramid | 4 triangular faces |
| 4 | Cuboid | 6 rectangular faces |
| 5 | Square-based pyramid | 1 square face, 4 triangular faces |
| 6 | Cylinder | 2 circular faces |
| 7 | Pentagonal prism | 2 pentagonal faces, 5 rectangular faces |

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✔ Answer Summary:

Matching:

1. Net 1 → Triangular prism
2. Net 2 → Cube
3. Net 3 → Triangle-based pyramid
4. Net 4 → Cuboid
5. Net 5 → Square-based pyramid
6. Net 6 → Cylinder
7. Net 7 → Pentagonal prism

Faces descriptions:

- Cube: 6 square faces
- Square-based pyramid: 1 square face, 4 triangular faces
- Triangular prism: 2 triangular faces, 3 rectangular faces
- Cuboid: 6 rectangular faces
- Cylinder: 2 circular faces
- Pentagonal prism: 2 pentagonal faces, 5 rectangular faces
- Triangle-based pyramid: 4 triangular faces

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Let me now present the filled-in table as per the worksheet:

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✔ Completed Table:

| Net | 3-D Shape | Faces |
|-----|-----------|-------|
| 1 | Triangular prism | 2 triangular faces, 3 rectangular faces |
| 2 | Cube | 6 square faces |
| 3 | Triangle-based pyramid | 4 triangular faces |
| 4 | Cuboid | 6 rectangular faces |
| 5 | Square-based pyramid | 1 square face, 4 triangular faces |
| 6 | Cylinder | 2 circular faces |
| 7 | Pentagonal prism | 2 pentagonal faces, 5 rectangular faces |

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🟩 Final Answer:

You’ve successfully matched each net to its corresponding 3D shape and described the faces.

✔ All matches are correct and explained.