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 — look again at the seventh and eighth:
- The sixth shape has a triangular base and four triangular faces → this is a tetrahedron, also called triangular-based pyramid.
- The seventh shape has two triangular bases and three rectangular faces → this is a triangular prism.
- The eighth shape looks like a rectangular prism that's been cut diagonally? No — wait, it's a triangular prism too?

Actually, no — looking closely:

- The seventh shape (green) is a triangular prism — two triangular bases, three rectangular faces.
- The eighth shape (yellow) is not a triangular prism. It has two triangular ends, and three rectangular faces — same as the green one? Wait, both seem similar.

But wait — the eighth shape is slanted, but still has two triangular ends and three rectangular sides — so it's still a triangular prism.

But there are only two triangular prisms? That can't be.

Wait — re-examining:

Let’s go one by one:

1. Blue cube → Cube
2. Pink block → Rectangular Prism
3. Red sphere → Sphere
4. Blue cylinder → Cylinder
5. Orange cone → Cone
6. Purple pyramid with triangle base and 4 triangular faces → Triangular-based pyramid
7. Green shape → This has a square base, and 4 triangular faces → Square-based pyramid
8. Yellow shape → Two triangular ends, and three rectangular faces → Triangular prism

Ah! So correction:

- Shape 6 (purple): Triangular-based pyramid
- Shape 7 (green): Square-based pyramid
- Shape 8 (yellow): Triangular prism

So now, final matching for Section A:

| Shape | Name |
|-------|------|
| 1 (blue cube) | Cube |
| 2 (pink) | Rectangular Prism |
| 3 (red) | 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 |

✔ All matched correctly.

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Section B: Match Descriptions to Shapes

We’re given a list of 3D shapes on the left and descriptions on the right. One is done: Cone → Has one flat circular face. Rolls in a circle.

Let’s go through each shape and match the correct description.

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

#### 2. Cube
- "Has 6 flat faces. All of the faces are squares." → ✔ This is correct.

#### 3. Triangular prism
- "Has two triangular faces and 3 faces that are rectangles." → ✔ Correct.

#### 4. Sphere
- "Has one curved face and can roll in any direction" → ✔ Yes, a sphere rolls in any direction and has one continuous curved surface.

#### 5. Square-based pyramid
- "Has one square face, the others are triangles." → ✔ Yes — base is a square, 4 triangular faces.

#### 6. Rectangular Prism
- "Has 6 flat faces. All of them are rectangles." → ✔ Yes, like a box.

#### 7. Triangular-based pyramid
- "Has 4 flat faces. All of the faces are triangles." → ✔ Yes, tetrahedron.

#### 8. Cylinder
- "Has two flat circular faces and one curved face. Will roll in a straight line." → ✔ Yes.

Now, let’s compile the full matching:

| 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. |

✔ All matches are now complete.

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✔ Final Answers

#### Section A: Matching Shapes to Names

1. Blue cube → Cube
2. Pink rectangular block → Rectangular Prism
3. Red sphere → Sphere
4. Blue cylinder → Cylinder
5. Orange cone → Cone
6. Purple pyramid (triangular base) → Triangular-based pyramid
7. Green pyramid (square base) → 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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This completes the worksheet. Each shape and description is correctly matched based on geometric properties.