Properties of 3D Shapes | PDF printable Geometry Worksheets - Free Printable

Let's solve this step-by-step.

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Section A: Name the 3D Shapes

We are given 8 images of 3D shapes and need to match each with its correct name from the list:

Available names:
- Cylinder
- Cube
- Square-based pyramid
- Triangular prism
- Rectangular Prism
- Triangular-based pyramid
- Sphere
- Cone

Now, let’s identify each shape:

1. First shape (blue, all faces equal squares) → Cube
2. Second shape (pink, rectangular box) → Rectangular Prism
3. Third shape (red, round) → Sphere
4. Fourth shape (blue, circular top and bottom) → Cylinder
5. Fifth shape (orange, pointed top, circular base) → Cone
6. Sixth shape (purple, triangular base, 4 triangular faces) → Triangular-based pyramid
7. Seventh shape (green, triangular base, 2 triangles and 3 rectangles) → Triangular prism
8. Eighth shape (yellow, two triangular ends, 3 rectangular sides) → Triangular prism
Wait — this is actually a triangular prism, but we already have one? Let's double-check.

Wait — actually, both the green and yellow shapes are triangular prisms? No — let's look again.

Actually:
- The green shape has a triangle on the base and top, and three rectangles — that's a triangular prism.
- The yellow shape also has two triangular bases and three rectangular sides — so it's also a triangular prism?

But wait — no! Actually, the yellow shape appears to be a rectangular prism? No — it looks like it has two triangular faces and three rectangular faces — yes, it's a triangular prism.

But there are two different orientations. However, both the green and yellow shapes are triangular prisms?

Wait — let's check carefully.

Looking at the sixth shape (purple) — it has four triangular faces, so it's a triangular-based pyramid (also known as a tetrahedron).

The seventh shape (green) — has two triangular bases and three rectangular lateral faces → Triangular prism

The eighth shape (yellow) — same thing: two triangular ends, three rectangular sides → also Triangular prism?

No — actually, the yellow shape looks like it's lying on its side — but it still has two triangular faces and three rectangular ones → yes, triangular prism.

But we only have one "Triangular prism" in the list. So maybe both are triangular prisms?

Wait — perhaps I'm misidentifying.

Let’s re-evaluate:

- Blue cube → Cube
- Pink block → Rectangular Prism
- Red ball → Sphere
- Blue cylinder → Cylinder
- Orange cone → Cone
- Purple pyramid (4 triangular faces) → Triangular-based pyramid
- Green pyramid (square base, 4 triangular faces) → Square-based pyramid
- Yellow shape → This has two triangular faces and three rectangular faces → Triangular prism

Ah! Now I see — the green shape is not a triangular prism. It has a square base and four triangular faces → that’s a square-based pyramid.

So let's go again:

1. Blue cube → Cube
2. Pink block → Rectangular Prism
3. Red sphere → Sphere
4. Blue cylinder → Cylinder
5. Orange cone → Cone
6. Purple shape (4 triangular faces) → Triangular-based pyramid
7. Green shape (square base, 4 triangular faces) → Square-based pyramid
8. Yellow shape (two triangular ends, three rectangles) → Triangular prism

✔ That matches all eight.

So the answers for Section A are:

| Shape | Name |
|------|------|
| 1 (blue cube) | Cube |
| 2 (pink block) | Rectangular Prism |
| 3 (red ball) | Sphere |
| 4 (blue cylinder) | Cylinder |
| 5 (orange cone) | Cone |
| 6 (purple pyramid) | Triangular-based pyramid |
| 7 (green pyramid) | Square-based pyramid |
| 8 (yellow prism) | Triangular prism |

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Section B: Match Descriptions to Shapes

We are given a list of shapes on the left and descriptions on the right. One is already done: Cone → "Has one flat circular face. Rolls in a circle."

Let’s go through each:

#### 1. Cone → Already matched:
> Has one flat circular face. Rolls in a circle.

✔ Correct.

#### 2. Cube
> Has 6 flat faces. All of the faces are squares.

This is true. A cube has 6 square faces.

→ Match to: Has 6 flat faces. All of the faces are squares.

#### 3. Triangular prism
> Has two triangular faces and 3 faces that are rectangles.

Yes — two triangular bases, three rectangular sides.

→ Match to: Has two triangular faces and 3 faces that are rectangles.

#### 4. Sphere
> Has one curved face and can roll in any direction.

A sphere has no flat faces, just one curved surface, and rolls in any direction.

→ Match to: Has one curved face and can roll in any direction.

#### 5. Square-based pyramid
> Has one square face, the others are triangles.

Yes — base is a square, and four triangular faces meet at the apex.

→ Match to: Has one square face, the others are triangles.

#### 6. Rectangular Prism
> Has 6 flat faces. All of them are rectangles.

Yes — like a box, all faces are rectangles (possibly squares, but generally rectangles).

→ Match to: Has 6 flat faces. All of them are rectangles.

#### 7. Triangular-based pyramid
> Has 4 flat faces. All of the faces are triangles.

Yes — it's a tetrahedron: 4 triangular faces.

→ Match to: Has 4 flat faces. All of the faces are triangles.

#### 8. Cylinder
> Has two flat circular faces and one curved face. Will roll in a straight line.

Yes — two circular bases and one curved surface. It rolls in a straight line.

→ Match to: Has two flat circular faces and one curved face. Will roll in a straight line.

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✔ Final Answers:

#### Section A: Match the shape names

1. Blue cube → Cube
2. Pink block → Rectangular Prism
3. Red sphere → Sphere
4. Blue cylinder → Cylinder
5. Orange cone → Cone
6. Purple pyramid → Triangular-based pyramid
7. Green pyramid → Square-based pyramid
8. Yellow prism → Triangular prism

#### Section B: Matching descriptions

| Shape | Description |
|-------|-------------|
| Cone | Has one flat circular face. Rolls in a circle. |
| Cube | Has 6 flat faces. All of the faces are squares. |
| Triangular prism | Has two triangular faces and 3 faces that are rectangles. |
| Sphere | Has one curved face and can roll in any direction. |
| Square-based pyramid | Has one square face, the others are triangles. |
| Rectangular Prism | Has 6 flat faces. All of them are rectangles. |
| Triangular-based pyramid | Has 4 flat faces. All of the faces are triangles. |
| Cylinder | Has two flat circular faces and one curved face. Will roll in a straight line. |

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🔍 Explanation Summary:

- Cube: 6 equal square faces.
- Rectangular Prism: 6 rectangular faces (not necessarily equal).
- Sphere: Completely round, no edges or vertices.
- Cylinder: Two circular bases and one curved surface.
- Cone: One circular base and one curved surface meeting at a point.
- Pyramids: Have a base and triangular faces meeting at an apex.
- Square-based pyramid: Base is square, 4 triangular faces.
- Triangular-based pyramid: Base is triangle, 3 more triangular faces → total 4 triangles.
- Triangular prism: Two triangular bases and three rectangular sides.

All matches are based on faces, edges, vertices, and rolling behavior.

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