Find the correct 3D shape based on its number of faces, edges, and corners.

Let me carefully examine the worksheet to solve each problem.

The task is: For each numbered item (1–5), match the given number of Faces, Edges, and Corners (Vertices) to the correct 3D shape among options a), b), c).

I’ll go one by one, using known properties of common 3D shapes.

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Problem 1:
Faces: 5
Edges: 8
Corners: 5

Let’s recall:
- A square pyramid has:
- 1 square base + 4 triangular faces = 5 faces
- 4 edges on base + 4 slant edges = 8 edges
- 4 base corners + 1 apex = 5 corners (vertices) ✔

Now check the options:
- a) looks like a cube → 6 faces, 12 edges, 8 corners ✘
- b) cone → 1 face (curved), 1 base edge (but not straight edges counted same way), 1 corner — doesn’t match ✘
- c) square pyramid (triangular sides meeting at top) → matches ✔

So #1 → c

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Problem 2:
Faces: 6
Edges: 12
Corners: 8

This is classic for a rectangular prism or cube.
- 6 faces (front/back, left/right, top/bottom)
- 12 edges
- 8 corners

Options:
- a) square pyramid → 5 faces ✘
- b) rectangular prism (box shape) → 6 faces, 12 edges, 8 corners ✔
- c) sphere → 0 flat faces, no edges/corners ✘

So #2 → b

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Problem 3:
Faces: 4
Edges: 6
Corners: 4

That’s a tetrahedron (triangular pyramid):
- 4 triangular faces
- 6 edges
- 4 vertices

Options:
- a) triangular pyramid (tetrahedron) → yes ✔
- b) cube → no ✘
- c) square pyramid → 5 faces ✘

So #3 → a

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Problem 4:
Faces: 5
Edges: 9
Corners: 6

Think: A triangular prism has:
- 2 triangular bases + 3 rectangular sides = 5 faces
- Each triangle has 3 edges, plus 3 connecting edges = 3 + 3 + 3 = 9 edges
- 3 corners on top triangle + 3 on bottom = 6 corners ✔

Options:
- a) cylinder → curved surface, 2 circular faces (but not counted as “faces” in this context usually), no straight edges like 9 ✘
- b) triangular prism → matches ✔
- c) cube → no ✘

So #4 → b

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Problem 5:
Faces: 6
Edges: 12
Corners: 8

Same as #2 — again, a cube or rectangular prism.
But look at options:
- a) cube (with visible hidden edges) → 6 faces, 12 edges, 8 corners ✔
- b) cone → no ✘
- c) square pyramid → 5 faces ✘

So #5 → a

Wait — but #2 was also 6/12/8 and we chose b (rectangular prism). That’s fine — both cube and rectangular prism have same counts. The diagram shows:
- #2b is a *rectangular* box (not perfect cube)
- #5a is a *cube* (equal sides)

Both are valid — the counts match either. So based on visuals:
- #2 → b (rectangular prism)
- #5 → a (cube)

Yes.

Final answers:
1 → c
2 → b
3 → a
4 → b
5 → a

Now format as requested.

Final Answer:
1c, 2b, 3a, 4b, 5a