Label each shape: a geometry worksheet featuring prisms and pyramids.

Let's solve this step-by-step by identifying each 3D shape in the image. The task is to label each shape as either a prism or a pyramid, and more specifically, identify the type based on the base.

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🔷 Key Definitions:

- Prism: A solid with two identical bases (top and bottom) connected by rectangular or parallelogram faces.
- Named after the shape of its base: e.g., triangular prism, hexagonal prism.
- Pyramid: A solid with one base and triangular faces that meet at a common vertex (apex).
- Named after the shape of its base: e.g., square pyramid, pentagonal pyramid.

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Now let’s go through each shape row by row:

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🟨 Row 1:

1. Orange shape (left)
- Two hexagonal bases, connected by rectangles.
→ Hexagonal Prism

2. Red shape (middle)
- Triangular base, three triangular faces meeting at apex.
→ Triangular Pyramid

3. Pink shape (right)
- Triangle base, three triangular faces meeting at apex.
→ Triangular Pyramid (same as above)

> Note: Both middle and right shapes are triangular pyramids — just different orientations.

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🟨 Row 2:

4. Orange shape (left)
- Four triangular faces, all meeting at one point.
→ Triangular Pyramid (tetrahedron)

5. Brown shape (middle)
- Six square faces, cube-like.
→ Cube (a special case of a square prism)

6. Red shape (right)
- Two octagonal bases, connected by rectangles.
→ Octagonal Prism

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🟨 Row 3:

7. Green shape (left)
- One pentagonal base, triangular faces rising to a point.
→ Pentagonal Pyramid

8. Purple shape (middle)
- Two identical octagonal bases, connected by rectangles.
→ Octagonal Prism

9. Purple shape (right)
- One hexagonal base, triangular faces meeting at apex.
→ Hexagonal Pyramid

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🟨 Row 4:

10. Blue shape (left)
- One pentagonal base, triangular faces meeting at apex.
→ Pentagonal Pyramid

11. Purple shape (middle)
- Two rectangular bases, connected by rectangles.
→ Rectangular Prism (or Cuboid)

12. Blue shape (right)
- Triangular base, but only one triangle visible? Wait — it has a triangular base and three triangular faces meeting at a point.
→ Triangular Pyramid

Wait — actually, let's double-check this last one.

But looking closely: it appears to have a triangular base and three triangular faces converging to an apex. So yes — Triangular Pyramid.

But wait — some might confuse it with a triangular prism, but no: it has only one base, and all sides are triangles meeting at a point → Pyramid.

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✔ Final Labels:

| Shape | Label |
|------|-------|
| 1 | Hexagonal Prism |
| 2 | Triangular Pyramid |
| 3 | Triangular Pyramid |
| 4 | Triangular Pyramid |
| 5 | Cube (Square Prism) |
| 6 | Octagonal Prism |
| 7 | Pentagonal Pyramid |
| 8 | Octagonal Prism |
| 9 | Hexagonal Pyramid |
| 10 | Pentagonal Pyramid |
| 11 | Rectangular Prism |
| 12 | Triangular Pyramid |

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🔚 Summary:

We identified each shape using:
- Number of bases (prisms have 2, pyramids have 1),
- Shape of base (triangle, square, pentagon, hexagon, octagon),
- And applied naming rules accordingly.

✔ All shapes are now correctly labeled!