Educational worksheet for learning 3D shapes and their properties.

Let’s go step by step to fill in the number of edges, faces/surfaces, and vertices for each 3D shape.

We’ll use what we know about common 3D shapes:

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1. Square-based pyramid

- It has a square base (4 sides) and 4 triangular faces that meet at the top point.
- Faces: 1 square + 4 triangles = 5 faces
- Edges: The base has 4 edges. Each triangle shares one edge with the base and two edges going up to the top — but those are shared between triangles. Actually, count: 4 around the base + 4 from base corners to apex = 8 edges
- Vertices: 4 corners on the base + 1 at the top = 5 vertices

✔ So:
- edges: 8
- faces/surfaces: 5
- vertices: 5

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2. Cube

- A cube is like a box with all equal sides.
- Faces: 6 (front, back, left, right, top, bottom)
- Edges: Each face has 4 edges, but each edge is shared by 2 faces → 12 total edges
- Vertices: 8 corners

✔ So:
- edges: 12
- faces/surfaces: 6
- vertices: 8

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3. Cuboid

- Like a stretched cube — still has 6 rectangular faces.
- Same as cube for counting:
- Faces: 6
- Edges: 12
- Vertices: 8

✔ So:
- edges: 12
- faces/surfaces: 6
- vertices: 8

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4. Triangular prism

- Has two triangular bases and three rectangular sides.
- Faces: 2 triangles + 3 rectangles = 5 faces
- Edges: Each triangle has 3 edges → 3 + 3 = 6, plus 3 connecting edges between the triangles = 9 edges
- Vertices: Each triangle has 3 corners → 3 + 3 = 6 vertices

✔ So:
- edges: 9
- faces/surfaces: 5
- vertices: 6

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Now let’s also do the smaller ones on the left side (same shapes):

Square-based pyramid (again) → same as above:
edges: 8, faces: 5, vertices: 5

Cube (again) → same:
edges: 12, faces: 6, vertices: 8

Cuboid (again) → same:
edges: 12, faces: 6, vertices: 8

Triangular prism (again) → same:
edges: 9, faces: 5, vertices: 6

Cylinder

- This one is tricky because it has curved surfaces.
- In most school contexts, they say:
- Faces/Surfaces: 3 (top circle, bottom circle, and the curved side) — sometimes called “surfaces” instead of flat faces.
- Edges: 2 (where the circles meet the curved surface — these are curved edges)
- Vertices: 0 (no corners)

✔ So:
- edges: 2
- faces/surfaces: 3
- vertices: 0

Triangular-based pyramid (also called tetrahedron)

- All faces are triangles — 4 total.
- Faces: 4
- Edges: Each triangle has 3 edges, but shared → 6 edges total
- Vertices: 4 (one at each corner)

✔ So:
- edges: 6
- faces/surfaces: 4
- vertices: 4

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Final Answer:

For the large worksheet on the right:

Square-based pyramid
edges: 8
faces/surfaces: 5
vertices: 5

Cube
edges: 12
faces/surfaces: 6
vertices: 8

Cuboid
edges: 12
faces/surfaces: 6
vertices: 8

Triangular prism
edges: 9
faces/surfaces: 5
vertices: 6

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For the small worksheet on the left (same shapes plus cylinder and triangular pyramid):

Square-based pyramid
edges: 8
faces/surfaces: 5
vertices: 5

Cube
edges: 12
faces/surfaces: 6
vertices: 8

Cuboid
edges: 12
faces/surfaces: 6
vertices: 8

Triangular prism
edges: 9
faces/surfaces: 5
vertices: 6

Cylinder
edges: 2
faces/surfaces: 3
vertices: 0

Triangular-based pyramid
edges: 6
faces/surfaces: 4
vertices: 4