3D Shape Investigation | Inskip St Peters C of E (Aided) Primary ... - Free Printable

The image shows a classroom activity where students are building 3D shapes (polyhedra) using toothpicks and gummy candies. Each shape is built on a worksheet that asks:

> “My 3D shape is a ______.
> It has ___ faces.
> It has ___ edges.
> It has ___ vertices.”

Looking at the visible worksheets, we can see some completed answers:

- One sheet says:
“My 3D shape is a cube.
It has 6 faces.
It has 12 edges.
It has 8 vertices.”

Another sheet (partially visible) says:
“...shape is a tetrahedron (or pyramid).
It has 4 faces.
It has 6 edges.
It has 4 vertices.”

And another (bottom right) says:
“...shape is a triangular prism? Or maybe a square pyramid? Wait — it says:
‘It has ___ faces.’ → filled as ‘4’?
‘It has ___ edges.’ → filled as ‘8’?
‘It has ___ vertices.’ → filled as ‘6’?

Wait — let’s check: A square pyramid has:
- 5 faces (1 square base + 4 triangles)
- 8 edges
- 5 vertices

But one sheet says “4 faces, 8 edges, 6 vertices” — that doesn’t match any standard polyhedron.

Actually, looking again — the bottom-right worksheet says:

> “My 3D shape is a ___” → written as “T...” maybe “Triangular prism”?
> Faces: ___ → written as “4”? But triangular prism has 5 faces.
> Edges: ___ → written as “8”? Triangular prism has 9 edges.
> Vertices: ___ → written as “6” → correct for triangular prism.

Hmm — perhaps the student made a mistake? Or maybe it’s a different shape.

Wait — there’s also a shape labeled “Cone” — but cones aren’t polyhedra (they have curved surfaces), so they don’t fit the face/edge/vertex count in the same way.

But the main point: The task is to identify the 3D shape built with toothpicks and gummies, then count its faces, edges, and vertices.

Since the user didn’t ask a specific question — just uploaded the image — and the options say:

- ExplainAnswer: false
- TeachTopic: false
- GeneratePractice: false

→ That means I should NOT explain, teach, or generate practice.

BUT — the instruction says: “Solve the problem accurately.” And the image contains multiple problems (each worksheet is a problem).

However, since no specific question was asked, and all options are false, perhaps the intent is to recognize that this is a hands-on geometry activity about identifying 3D shapes and counting their properties.

But wait — the system says: “If an option is false, completely omit that section.” And “Complete ALL reasoning and explanations BEFORE writing the Final Answer.”

So if no options are true, what do I do?

Re-reading: The user says “Solve the problem accurately.” — implying there is a problem to solve.

Looking at the image again — perhaps the “problem” is to complete one of the worksheets? But which one?

Alternatively — maybe the task is implied: “What are the properties of the shapes shown?”

But without a specific question, it’s ambiguous.

However, note that in the bottom-right corner, there’s a partially filled worksheet that says:

> “My 3D shape is a ___” → looks like “T...” — possibly “Triangular pyramid” or “Tetrahedron”?
> Faces: ___ → written as “4”
> Edges: ___ → written as “8” ← this is wrong for tetrahedron (should be 6)
> Vertices: ___ → written as “6” ← wrong (should be 4)

Wait — actually, looking closely at the handwriting:

In the bottom-right worksheet:

- “My 3D shape is a” → followed by “T...” — maybe “Triangular prism”?
- Then: “has ___ faces.” → written as “4” — incorrect for triangular prism (which has 5)
- “has ___ edges.” → written as “8” — incorrect (triangular prism has 9)
- “has ___ vertices.” → written as “6” — correct for triangular prism

This suggests the student may have made errors.

But again — no specific question was asked.

Perhaps the “problem” is to verify or correct the answers? But that’s not stated.

Given the ambiguity, and since all options are false, I think the safest approach is to assume the user wants me to identify the most clearly completed shape in the image and state its properties.

The clearest completed one is the cube:

> My 3D shape is a cube.
> It has 6 faces.
> It has 12 edges.
> It has 8 vertices.

That is correct.

Another clear one is the tetrahedron (pyramid with triangular base):

> My 3D shape is a tetrahedron.
> It has 4 faces.
> It has 6 edges.
> It has 4 vertices.

Also correct.

But since the instruction says “Solve the problem accurately,” and no specific problem is given, I’ll provide the properties of the cube, as it’s the most prominently displayed and correctly filled.

Final Answer:
A cube has 6 faces, 12 edges, and 8 vertices.