Solid Figures Lesson Plans & Worksheets | Lesson Planet - Free Printable

It looks like you've uploaded a worksheet titled "Solid Figures" (Homework 19-1), which includes questions about identifying and analyzing solid geometric shapes. Since I can't view images directly, I’ll help you solve the problems based on the description of what’s typically on such worksheets.

Let me walk through the likely content and solve it step by step.

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Worksheet: Solid Figures

#### Part A: Name each solid figure. Then write the number of faces, vertices, and edges.

Here are common solid figures that appear on such worksheets:

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1. Cylinder
- Name: Cylinder
- Faces: 3 (2 circular bases + 1 curved surface — but note: in some curricula, curved surfaces aren’t counted as "faces")
- *However, in elementary math, often only flat surfaces are counted.*
- So: 2 faces (the two circles)
- Edges: 0 (no straight edges; curves don't count as edges)
- Vertices: 0

> ✔ Answer:
> - Name: Cylinder
> - Faces: 2
> - Edges: 0
> - Vertices: 0

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2. Square Pyramid
- Name: Square pyramid
- Faces: 5 (1 square base + 4 triangular faces)
- Edges: 8 (4 on the base + 4 from base to apex)
- Vertices: 5 (4 base corners + 1 apex)

> ✔ Answer:
> - Name: Square pyramid
> - Faces: 5
> - Edges: 8
> - Vertices: 5

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3. Cone
- Name: Cone
- Faces: 1 (only the circular base; curved surface not counted as a face)
- Edges: 0 (no straight edges)
- Vertices: 1 (the tip or apex)

> ✔ Answer:
> - Name: Cone
> - Faces: 1
> - Edges: 0
> - Vertices: 1

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4. Triangle-based Pyramid (Tetrahedron)
- Name: Triangular pyramid (or tetrahedron)
- Faces: 4 (all triangles)
- Edges: 6
- Vertices: 4

> ✔ Answer:
> - Name: Triangular pyramid
> - Faces: 4
> - Edges: 6
> - Vertices: 4

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5. Rectangular Prism (or Cube)
- If it's a cube: all sides equal.
- Name: Rectangular prism (or cube)
- Faces: 6
- Edges: 12
- Vertices: 8

> ✔ Answer:
> - Name: Rectangular prism
> - Faces: 6
> - Edges: 12
> - Vertices: 8

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6. Triangular Prism
- Name: Triangular prism
- Faces: 5 (2 triangular bases + 3 rectangular sides)
- Edges: 9
- Vertices: 6

> ✔ Answer:
> - Name: Triangular prism
> - Faces: 5
> - Edges: 9
> - Vertices: 6

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Problem Solving: Question 6

> 6. Alia traced the base of a solid figure. A square appears. What solid figure could she have traced?

Answer:
She traced a square, which means the base of the solid is a square.

Possible solids with a square base:
- Square pyramid
- Rectangular prism (if it’s a cube or a square-based prism)
- Cube

So, possible answers:
> ✔ Square pyramid, rectangular prism, or cube

But since the question asks "What solid figure could she have traced?", any one is acceptable.

> ✔ Example answer: A square pyramid

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Summary Table:

| Figure | Name | Faces | Edges | Vertices |
|--------|--------------------|-------|-------|----------|
| 1 | Cylinder | 2 | 0 | 0 |
| 2 | Square pyramid | 5 | 8 | 5 |
| 3 | Cone | 1 | 0 | 1 |
| 4 | Triangular pyramid | 4 | 6 | 4 |
| 5 | Rectangular prism | 6 | 12 | 8 |
| 6 | Triangular prism | 5 | 9 | 6 |

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Final Answer for Problem 6:

> Alia could have traced a square pyramid, a rectangular prism, or a cube.

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