3D Shapes — Properties and Nets: Stretch (Year 6) | CGP Plus - Free Printable

Let's solve this step by step.

---

Part 1: Fill in the table with the names and properties of the 3D shapes

We are given four 3D shapes. Let’s identify each one and determine their number of faces, edges, and vertices.

---

#### 1. First shape (green) – Triangular Prism
- Name: Triangular Prism
- Faces:
- 2 triangular bases
- 3 rectangular sides
- Total = 5 faces
- Edges:
- Each triangle has 3 edges → 3 × 2 = 6
- But shared edges between base and side, total unique edges = 9
- Vertices:
- Each triangle has 3 vertices → 3 × 2 = 6 vertices

✔ So:
- Name: Triangular Prism
- Faces: 5
- Edges: 9
- Vertices: 6

---

#### 2. Second shape (orange) – Cylinder
- Name: Cylinder
- Faces:
- 2 circular bases (top and bottom)
- 1 curved surface (but in geometry, curved surfaces are often not counted as "faces" in the same way as flat ones)
- However, for elementary math, we usually say:
- 3 faces (2 flat circular faces + 1 curved face)
- Edges:
- The cylinder has no straight edges — only curves.
- But in some contexts, the circular rims are considered edges → 2 circular edges
- But typically, edges are where two flat faces meet → so cylinders have 0 edges in strict terms.
- In primary education, it's common to say:
- 0 edges (since no straight lines)
- Or sometimes 2 if counting the boundaries of the circles.
- But since this is likely a primary-level worksheet, we’ll go with standard convention:
- Edges: 0
- Vertices: 0 (no corners)
- Vertices: 0

✔ So:
- Name: Cylinder
- Faces: 3 (2 circular + 1 curved)
- Edges: 0
- Vertices: 0

> ⚠️ Note: Some curricula count the circular edges as "edges", but in formal geometry, edges are line segments. So 0 edges and 0 vertices is correct.

---

#### 3. Third shape (red) – Tetrahedron / Triangular Pyramid
- Name: Tetrahedron (or Triangular Pyramid)
- Faces: 4 triangular faces
- Edges: Each triangle has 3 edges, but shared → total 6 edges
- Vertices: 4 corner points

✔ So:
- Name: Tetrahedron
- Faces: 4
- Edges: 6
- Vertices: 4

---

#### 4. Fourth shape (blue) – Cube
- Name: Cube
- Faces: 6 square faces
- Edges: 12 (each edge shared by 2 faces)
- Vertices: 8 (corners)

✔ So:
- Name: Cube
- Faces: 6
- Edges: 12
- Vertices: 8

---

✔ Completed Table:

| Shape Image | Name | Number of faces | Number of edges | Number of vertices |
|-------------|-------------------|------------------|------------------|---------------------|
| Green prism | Triangular Prism | 5 | 9 | 6 |
| Orange | Cylinder | 3 | 0 | 0 |
| Red pyramid | Tetrahedron | 4 | 6 | 4 |
| Blue cube | Cube | 6 | 12 | 8 |

---

Part 2: Label the nets with the name of the 3D shape they would create

Now, let's identify each net:

#### Net 1: Rectangle with two circles on the sides
- This is the net of a cylinder.
- The rectangle becomes the curved surface, and the two circles become the top and bottom.

➡️ Label: Cylinder

---

#### Net 2: Four triangles arranged around a central triangle
- This is a tetrahedron (triangular pyramid).
- All faces are triangles — when folded, they meet at a point.

➡️ Label: Tetrahedron

---

#### Net 3: Six rectangles arranged in a cross-like pattern
- This is a cube net.
- It has six squares, which fold into a cube.

➡️ Label: Cube

---

#### Net 4: Sector of a circle with one circle attached
- This is a cone.
- The sector forms the curved surface, and the circle is the base.

➡️ Label: Cone

---

#### Net 5: Five polygons: one pentagon and five quadrilaterals? Wait — look closely.
- One large orange shape: a pentagon?
- Actually, it's a pentagonal pyramid net.
- Central shape: pentagon
- Surrounding: five triangles
- When folded, the triangles meet at a point above the pentagon.

➡️ Label: Pentagonal Pyramid

Wait! Let's double-check.

But looking at the image:
- The center is a pentagon, and there are five triangles connected to its sides.
- That makes 6 faces total: 1 pentagon + 5 triangles → yes, that’s a pentagonal pyramid.

So:
➡️ Label: Pentagonal Pyramid

---

✔ Final Answers for Nets:

1. Rectangle + 2 circles → Cylinder
2. 4 triangles forming a star → Tetrahedron
3. Cross of 6 rectangles → Cube
4. Sector + circle → Cone
5. Pentagon with 5 triangles → Pentagonal Pyramid

---

✔ Final Answer Summary

#### Table:

| Name | Faces | Edges | Vertices |
|------------------|-------|--------|----------|
| Triangular Prism | 5 | 9 | 6 |
| Cylinder | 3 | 0 | 0 |
| Tetrahedron | 4 | 6 | 4 |
| Cube | 6 | 12 | 8 |

#### Nets:

1. Cylinder
2. Tetrahedron
3. Cube
4. Cone
5. Pentagonal Pyramid

---

Let me know if you'd like a printable version or visual labels!