3D shapes (face, edge, vertice) worksheet - Free Printable

Let's solve the worksheet step by step. We need to fill in the number of faces, edges, and vertices for each 3D shape shown.

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🔷 Definitions:

- Face: A flat surface of a 3D shape.
- Edge: A line segment where two faces meet.
- Vertex (plural: vertices): A corner where edges meet.

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Now let’s analyze each shape:

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1. CUBE

- Faces: 6 (all squares)
- Edges: 12
- Vertices: 8

✔ *Each cube has 6 square faces, 12 edges, and 8 corners.*

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2. PRISM (Triangular Prism)

- This is a triangular prism (two triangular bases and three rectangular sides).
- Faces: 5 (2 triangles + 3 rectangles)
- Edges: 9
- Vertices: 6

✔ *Two triangular bases → 3 vertices each → 6 total; 3 edges per triangle × 2 = 6, plus 3 connecting edges = 9 edges.*

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3. TETRAHEDRON (Triangular Pyramid)

- A tetrahedron is a pyramid with a triangular base and 3 triangular faces meeting at a point.
- Faces: 4 (all triangles)
- Edges: 6
- Vertices: 4

✔ *It has 4 triangular faces, 6 edges, and 4 corners.*

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4. CUBOID

- Like a cube but not necessarily equal sides (rectangular box).
- Faces: 6 (all rectangles)
- Edges: 12
- Vertices: 8

✔ *Same as cube: 6 faces, 12 edges, 8 vertices.*

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5. CONE

- One circular base and one curved surface tapering to a point.
- Faces: 2 (1 flat circular face + 1 curved surface — but note: curved surface is often not counted as a "face" in basic geometry; sometimes only flat surfaces are considered. But in many elementary contexts, the curved surface is considered a face, so we count it.)

But traditionally:
- Faces: 2 (1 circular base + 1 curved surface — though curved isn't flat)
- However, in elementary math, often:
- Faces: 1 (only the flat base)
- Edges: 1 (the circular edge of the base)
- Vertices: 1 (the tip)

But technically:
- Faces: 2 (if counting curved surface as a face)
- Edges: 1 (circular edge)
- Vertices: 1 (apex)

But since edges and vertices are usually defined for polyhedra (with flat faces), cone is not a polyhedron.

So standard answers for basic level:
- Faces: 2 (1 flat, 1 curved) — or just 1 if only flat faces are counted
- Edges: 1 (the circular base edge)
- Vertices: 1 (the tip)

Most common answer in worksheets:
> ✔ Faces: 2, Edges: 1, Vertices: 1

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6. CYLINDER

- Two circular bases and one curved surface.
- Faces: 3 (2 flat circular faces + 1 curved surface)
- Edges: 2 (the two circular edges)
- Vertices: 0 (no sharp corners)

✔ So:
- Faces: 3
- Edges: 2
- Vertices: 0

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7. SPHERE

- Perfectly round object.
- Faces: 0 (no flat surfaces)
- Edges: 0
- Vertices: 0

✔ All are smooth and continuous.

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8. SQUARE PYRAMID

- Base is a square, and 4 triangular faces meet at a point.
- Faces: 5 (1 square base + 4 triangles)
- Edges: 8 (4 on base + 4 from base to apex)
- Vertices: 5 (4 base corners + 1 apex)

✔ Yes.

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✔ Final Answers Table:

| Shape | Faces | Edges | Vertices |
|------------------|-------|--------|----------|
| Cube | 6 | 12 | 8 |
| Prism (Triangular) | 5 | 9 | 6 |
| Tetrahedron | 4 | 6 | 4 |
| Cuboid | 6 | 12 | 8 |
| Cone | 2 | 1 | 1 |
| Cylinder | 3 | 2 | 0 |
| Sphere | 0 | 0 | 0 |
| Square Pyramid | 5 | 8 | 5 |

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📌 Notes:

- Prism here is clearly a triangular prism based on the image.
- The tetrahedron is a triangular pyramid.
- Square pyramid has a square base and 4 triangular faces.
- Cone and cylinder have curved surfaces, so their counts differ from polyhedra.

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✔ Answer Key to Fill In:

#### CUBE
- Faces: 6
- Edges: 12
- Vertices: 8

#### PRISM (Triangular)
- Faces: 5
- Edges: 9
- Vertices: 6

#### TETRAHEDRON
- Faces: 4
- Edges: 6
- Vertices: 4

#### CUBOID
- Faces: 6
- Edges: 12
- Vertices: 8

#### CONE
- Faces: 2
- Edges: 1
- Vertices: 1

#### CYLINDER
- Faces: 3
- Edges: 2
- Vertices: 0

#### SPHERE
- Faces: 0
- Edges: 0
- Vertices: 0

#### SQUARE PYRAMID
- Faces: 5
- Edges: 8
- Vertices: 5

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Let me know if you'd like this formatted as a printable answer sheet!