Let's solve each shape in the worksheet step by step. We'll identify the
name of each 3D shape and then count the number of
faces,
edges, and
vertices.
---
1) Purple Triangle-based Pyramid (Tetrahedron)
-
Name:
Triangular Pyramid or
Tetrahedron
-
Faces: 4 triangular faces
-
Edges: 6 edges (each vertex connects to 3 others)
-
Vertices: 4 vertices
✔ Answer:
- Faces:
4
- Edges:
6
- Vertices:
4
---
2) Brown Cube
-
Name:
Cube
-
Faces: 6 square faces
-
Edges: 12 edges (each face has 4 edges, but shared)
-
Vertices: 8 corners
✔ Answer:
- Faces:
6
- Edges:
12
- Vertices:
8
---
3) Blue Pentagon-based Pyramid
-
Name:
Pentagonal Pyramid
-
Faces: 1 pentagon base + 5 triangular faces =
6 faces
-
Edges: 5 edges on base + 5 from apex to base =
10 edges
-
Vertices: 5 base vertices + 1 apex =
6 vertices
✔ Answer:
- Faces:
6
- Edges:
10
- Vertices:
6
---
4) Red Square-based Pyramid
-
Name:
Square Pyramid
-
Faces: 1 square base + 4 triangular faces =
5 faces
-
Edges: 4 base edges + 4 from apex to base =
8 edges
-
Vertices: 4 base vertices + 1 apex =
5 vertices
✔ Answer:
- Faces:
5
- Edges:
8
- Vertices:
5
---
5) Purple Rectangular Prism (Cuboid)
-
Name:
Rectangular Prism or
Cuboid
-
Faces: 6 rectangular faces (top, bottom, front, back, left, right)
-
Edges: 12 edges (same as cube)
-
Vertices: 8 corners
✔ Answer:
- Faces:
6
- Edges:
12
- Vertices:
8
---
6) Orange Hexagonal Prism
-
Name:
Hexagonal Prism
-
Faces: 2 hexagonal bases + 6 rectangular lateral faces =
8 faces
-
Edges: 6 edges per base × 2 = 12, plus 6 vertical edges =
18 edges
-
Vertices: 6 per base × 2 =
12 vertices
✔ Answer:
- Faces:
8
- Edges:
18
- Vertices:
12
---
7) Green Triangular Prism
-
Name:
Triangular Prism
-
Faces: 2 triangular bases + 3 rectangular sides =
5 faces
-
Edges: 3 edges per triangle × 2 = 6, plus 3 connecting edges =
9 edges
-
Vertices: 3 per triangle × 2 =
6 vertices
✔ Answer:
- Faces:
5
- Edges:
9
- Vertices:
6
---
8) Purple Octagonal Prism
-
Name:
Octagonal Prism
-
Faces: 2 octagonal bases + 8 rectangular lateral faces =
10 faces
-
Edges: 8 edges per base × 2 = 16, plus 8 vertical edges =
24 edges
-
Vertices: 8 per base × 2 =
16 vertices
✔ Answer:
- Faces:
10
- Edges:
24
- Vertices:
16
---
✔ Final Answers Summary:
| # | Shape Name | Faces | Edges | Vertices |
|---|-------------------------|-------|-------|----------|
| 1 | Triangular Pyramid | 4 | 6 | 4 |
| 2 | Cube | 6 | 12 | 8 |
| 3 | Pentagonal Pyramid | 6 | 10 | 6 |
| 4 | Square Pyramid | 5 | 8 | 5 |
| 5 | Rectangular Prism | 6 | 12 | 8 |
| 6 | Hexagonal Prism | 8 | 18 | 12 |
| 7 | Triangular Prism | 5 | 9 | 6 |
| 8 | Octagonal Prism | 10 | 24 | 16 |
---
💡
Tip: For prisms:
-
Faces = 2 (bases) + number of sides
-
Edges = 3 × number of sides
-
Vertices = 2 × number of sides
For pyramids:
-
Faces = number of sides + 1
-
Edges = 2 × number of sides
-
Vertices = number of sides + 1
Let me know if you'd like this printed out or formatted for a student!
Parent Tip: Review the logic above to help your child master the concept of solid shapes worksheet.
