Solid Shapes Worksheet featuring riddles to identify 3D shapes based on their properties.

Let me solve each riddle by matching the description to the correct solid shape.

I’ll go one by one:

1. *It has 2 ○ faces. It can roll.*
- ○ means circular faces. A shape with 2 circular faces that rolls is a cylinder.
→ The cylinder is the left shape in row 1.

2. *It has 6 □ faces. It has 12 equal edges.*
- □ = square faces. A cube has 6 square faces and 12 equal edges.
→ The cube is the left shape in row 2.

3. *It has 4 △ faces. It has 6 equal edges.*
- △ = triangular faces. A tetrahedron (triangular pyramid) has 4 triangular faces and 6 edges, all equal if regular.
→ The right shape in row 3 is a tetrahedron.

4. *It has no faces. It has no edges.*
- Only a sphere fits: no flat faces, no edges.
→ Left shape in row 1 is a sphere — but wait, row 1 already used left for #1. Let’s check layout again.

Actually, looking at the image layout: there are 8 riddles and 8 shapes (2 columns × 4 rows). Each riddle corresponds to one shape — we need to match each riddle to its correct shape among the 8 shown.

Let me list all 8 shapes clearly (left column top to bottom, then right column top to bottom):

Left column:
- Shape A: Sphere (shaded bottom half)
- Shape B: Cube
- Shape C: Cylinder
- Shape D: Cone

Right column:
- Shape E: Triangular prism (2 triangles + 3 rectangles)
- Shape F: Rectangular prism (or cuboid)
- Shape G: Square pyramid (1 square base + 4 triangles) — wait, no: it's a tetrahedron? Actually, shape G is a tetrahedron (4 triangles), shaded base.
- Shape H: Square divided into 4 triangles — that’s a square pyramid net, but as a solid? No — actually, it looks like a square pyramid (4 triangular faces meeting at apex, square base not shown shaded). But riddle #8 says “4 △ faces” — a square pyramid has 4 triangular faces + 1 square base = 5 faces total, so not that.

Wait — better to analyze each riddle with properties:

1. 2 circular faces, can roll → Cylinder
2. 6 square faces, 12 equal edges → Cube
3. 4 triangular faces, 6 equal edges → Tetrahedron (regular triangular pyramid)
4. No faces, no edges → Sphere
5. 2 triangular faces, 9 edges → That’s a triangular prism: 2 triangle bases + 3 rectangular sides = 5 faces, but riddle says “2 △ faces” — yes, only 2 triangular faces; edges: 3 on top triangle + 3 on bottom + 3 connecting = 9 edges ✔
6. 4 rectangular faces, 12 edges → A rectangular prism (cuboid) has 6 faces: 3 pairs. But riddle says “4 □ faces” — maybe they mean 4 lateral rectangular faces, ignoring top/bottom? Unlikely. Wait — another possibility: a square prism is same as cube if squares, but cube already used. Hmm.

Let’s count faces/edges for common solids:

| Solid | Faces | Types | Edges |
|-------|-------|-------|-------|
| Sphere | 0 | curved | 0 |
| Cone | 1 flat (circle) + 1 curved | 1 vertex, 1 edge (base circle) — but usually said to have 1 face (if counting only flat), or 2 surfaces. Riddle #7: “1 ○ face, it can roll” → Cone
| Cylinder | 2 flat circles + 1 curved | 2 edges (circular boundaries) — but often said to have 2 faces (flat), can roll → #1
| Cube | 6 squares | 12 edges |
| Tetrahedron | 4 triangles | 6 edges |
| Triangular prism | 2 triangles + 3 rectangles = 5 faces | 9 edges |
| Square pyramid | 1 square + 4 triangles = 5 faces | 8 edges |
| Rectangular prism (cuboid) | 6 rectangles (or 2 squares + 4 rects) | 12 edges |

Now match riddles:

1. 2 ○ faces, can roll → Cylinder
2. 6 □ faces, 12 equal edges → Cube
3. 4 △ faces, 6 equal edges → Tetrahedron
4. No faces, no edges → Sphere
5. 2 △ faces, 9 edges → Triangular prism
6. 4 □ faces, 12 edges → This is tricky. No standard solid has exactly 4 rectangular faces and 12 edges *and only 4 faces*. But a cuboid has 6 faces. Unless they miscount? Wait — look at shape in right column, row 2: it's a rectangular prism (cuboid), and riddle #6 says “4 □ faces” — perhaps they consider only the lateral faces? Unlikely.

Alternative: Could #6 be a square antiprism? No — too advanced.

Let me check riddle #8: “4 △ faces, 8 equal edges” → That matches a square pyramid? Square pyramid: 4 triangular faces + 1 square base = 5 faces total, but riddle says “4 △ faces” — maybe they’re not counting the base? Some curricula describe pyramids by lateral faces only. And edges: 4 base edges + 4 slant edges = 8 edges ✔. So #8 = square pyramid.

Then #6: “4 □ faces, 12 edges” — if it’s a rectangular prism, it has 6 faces, but maybe the worksheet uses □ loosely for quadrilaterals, and they mean 4 side faces (ignoring top/bottom)? But that’s inconsistent.

Wait — look at the shapes provided:

Row 1:
- Left: sphere
- Right: triangular prism

Row 2:
- Left: cube
- Right: rectangular prism

Row 3:
- Left: cylinder
- Right: tetrahedron

Row 4:
- Left: cone
- Right: square pyramid (4 triangles meeting at apex, base square implied)

Now match riddles to these 8 shapes:

1. 2 ○ faces, can roll → cylinder → row 3 left
2. 6 □ faces, 12 equal edges → cube → row 2 left
3. 4 △ faces, 6 equal edges → tetrahedron → row 3 right
4. No faces, no edges → sphere → row 1 left
5. 2 △ faces, 9 edges → triangular prism → row 1 right
6. 4 □ faces, 12 edges → rectangular prism has 6 faces, but maybe they consider only 4 lateral faces? However, rectangular prism has 12 edges — and if □ includes rectangles, and they say “4 □ faces", perhaps it's a mistake, but the only remaining shape with 12 edges is rectangular prism. Cube already used. Cylinder has 2 edges (curved), cone has 1 edge. So #6 must be rectangular prism (row 2 right).

7. 1 ○ face, it can roll → cone (has 1 flat circular face, rolls) → row 4 left
8. 4 △ faces, 8 equal edges → square pyramid: 4 triangular lateral faces, 8 edges (4 base + 4 slant) → row 4 right

Yes, this fits perfectly.

So the answers (in order 1–8) are:
1. Cylinder
2. Cube
3. Tetrahedron
4. Sphere
5. Triangular prism
6. Rectangular prism
7. Cone
8. Square pyramid

But the question says: “Answer each shape riddle.” And the worksheet has blank lines under each shape — likely students write the name under the correct shape. Since the user asks to *solve the problem*, and options are all false, I only give the final answer as a list matching riddles 1–8.

Final Answer:
1. Cylinder
2. Cube
3. Tetrahedron
4. Sphere
5. Triangular prism
6. Rectangular prism
7. Cone
8. Square pyramid