2nd Grade Math Worksheets - Geometry - Recognizing Shape ... - Free Printable

Explanation:
Let’s solve each riddle one by one using the clues.

1. Riddle 1:
- “I have no flat surfaces.” → So no faces that are flat (like squares or rectangles).
- “I have no edges.” → No line segments where faces meet.
- “I can roll.” → Smooth curved surface.
✔ This describes a sphere.
(Cylinder has flat surfaces and edges; cube has flat surfaces and edges; sphere is smooth all over.)

2. Riddle 2:
- “I have 6 faces.”
- “Each of my faces is a square.”
- “I have 12 edges.”
✔ A cube has exactly 6 square faces, 8 vertices, and 12 edges.

3. Riddle 3:
- “I have 6 faces.”
- “Some of my faces are rectangles.”
- “I have 12 edges.”
✔ A rectangular prism (also called a cuboid) has 6 faces — all rectangles (or sometimes 2 squares + 4 rectangles), and 12 edges. Cube is a special case, but here it says *some* are rectangles, so not all squares → rectangular prism.

4. Riddle 4:
- “I have one circle face.”
- “I have one vertex.”
- “I cannot be stacked.”
✔ A cone has 1 circular base, 1 pointed vertex, and rolls or tips — can’t stack stably like prisms/cubes.

5. Riddle 5:
- “I have two flat surfaces that are circles.”
- “I can roll.”
- “I have no corners.”
✔ A cylinder has 2 circular flat faces, a curved side, rolls easily, and no corners (vertices).

6. Riddle 6:
- “I have 5 faces and 8 edges.”
- “I cannot be stacked.”
- “I have one vertex.”
Wait — let’s double-check. A square pyramid has:
- 1 square base + 4 triangular faces = 5 faces ✔
- Edges: 4 around the base + 4 from base to top = 8 edges ✔
- Vertices: 4 base corners + 1 top = 5 vertices — but clue says “I have one vertex” — that seems wrong.

Hmm! Let’s re-read:
> “I have 5 faces and 8 edges. I cannot be stacked. I have one vertex.”

That doesn’t match square pyramid (5 vertices). Maybe it's a typo in the riddle? But look at the picture options below: the shapes shown are:
- Square pyramid (triangular sides, square base)
- Rectangular prism
- Triangle (2D — ignore)

Wait — maybe “one vertex” is misinterpreted? Or perhaps it means *one apex vertex* (ignoring base)? But standard math says vertices include all corners.

Let’s check other 5-face solids:
- Triangular prism has 5 faces? No: 2 triangles + 3 rectangles = 5 faces ✔
Edges: 3 on each triangle + 3 connecting = 9 edges ✘ (needs 8)
- Square pyramid: 5 faces, 8 edges, 5 vertices.
The riddle says “I have one vertex” — this is likely an error in the worksheet, or they mean “one *top* vertex” (apex), which is common in early grades.

In early education, teachers often say a pyramid has “one pointy vertex” (the top), even though technically there are more. Given the picture choices and standard curriculum, this riddle points to the square pyramid.

Also, it says “I cannot be stacked” — pyramids tip over, unlike prisms/cubes. So yes — square pyramid.

Now match each riddle to the correct shape name:

1. Sphere
2. Cube
3. Rectangular prism
4. Cone
5. Cylinder
6. Square pyramid

Final Answer:
Sphere, Cube, Rectangular Prism, Cone, Cylinder, Square Pyramid