Let's solve each 3D shape in the worksheet step by step. We'll identify the name of each shape and determine the number of
faces,
edges, and
vertices.
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1. First Shape: Cube
-
Name: Cube
-
Faces: A cube has 6 square faces (top, bottom, front, back, left, right).
-
Edges: Each face has 4 edges, but each edge is shared by two faces. Total = 12 edges.
-
Vertices: Corners where edges meet. A cube has 8 corners.
✔ Answer:
- Name:
Cube
- Faces:
6
- Edges:
12
- Vertices:
8
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2. Second Shape: Square Pyramid
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Name: Square Pyramid (a pyramid with a square base)
-
Faces: 1 square base + 4 triangular sides =
5 faces
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Edges: The base has 4 edges, and each corner of the base connects to the apex → 4 more edges =
8 edges
-
Vertices: 4 at the base + 1 apex =
5 vertices
✔ Answer:
- Name:
Square Pyramid
- Faces:
5
- Edges:
8
- Vertices:
5
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3. Third Shape: Cone
-
Name: Cone
-
Faces: A cone has
1 curved surface (not flat), and
1 circular base → typically counted as
2 faces (1 flat, 1 curved). In some contexts, only flat faces are counted, but here we include curved surfaces.
-
Edges: The circular base has a
curved edge, but no straight edges. So,
0 straight edges.
-
Vertices: The tip (apex) is a vertex, but the base is curved →
1 vertex
⚠️ Note: Some sources say cones have
no edges or
1 edge (the circular rim), but in standard elementary math,
edges refer to
straight lines, so
0 edges.
✔ Answer:
- Name:
Cone
- Faces:
2 (1 curved, 1 flat)
- Edges:
0
- Vertices:
1
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4. Fourth Shape: Rectangular Prism (or Cuboid)
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Name: Rectangular Prism (also called a cuboid)
-
Faces: 6 rectangular faces (like a box)
-
Edges: 12 edges (same as cube)
-
Vertices: 8 corners
✔ Answer:
- Name:
Rectangular Prism
- Faces:
6
- Edges:
12
- Vertices:
8
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5. Fifth Shape: Sphere
-
Name: Sphere
-
Faces: A sphere has
no flat faces and
no edges or vertices. It's perfectly curved.
-
Edges: 0
-
Vertices: 0
✔ Answer:
- Name:
Sphere
- Faces:
0
- Edges:
0
- Vertices:
0
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✔ Final Answers:
| Shape | Name | Faces | Edges | Vertices |
|------|------|-------|--------|----------|
| 1 | Cube | 6 | 12 | 8 |
| 2 | Square Pyramid | 5 | 8 | 5 |
| 3 | Cone | 2 | 0 | 1 |
| 4 | Rectangular Prism | 6 | 12 | 8 |
| 5 | Sphere | 0 | 0 | 0 |
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📝 Explanation Summary:
-
Face: A flat or curved surface.
-
Edge: Where two faces meet (only straight lines count).
-
Vertex: A corner point where edges meet.
> ⚠️ For cones and spheres, definitions may vary slightly depending on curriculum, but this is the standard interpretation for elementary-level geometry.
Let me know if you'd like this filled out in the format of the original worksheet!
Parent Tip: Review the logic above to help your child master the concept of 3d shapes worksheet for first grade.
