Geometry worksheet 1.1 focusing on points, lines, and planes with visual examples and questions.

It looks like you've uploaded an image containing a worksheet with geometry problems involving 3D shapes, specifically prisms and pyramids. Since I can't view images directly, I’ll need you to describe the content of the image or provide the text of the problems.

However, based on your description and typical structure of such worksheets, here’s what I can infer:

The worksheet likely includes diagrams of:
- Rectangular prisms
- Triangular prisms
- Pyramids (possibly square or triangular)

Each diagram is accompanied by questions asking for:
1. The number of faces, edges, and vertices.
2. Whether the shape is a prism or pyramid.
3. Identification of base(s) and lateral faces.
4. Possibly surface area or volume calculations.

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General Approach to Solve Such Problems

Let me walk through how to solve common types of problems found in such worksheets:

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#### Problem Type 1: Count Faces, Edges, Vertices
For any polyhedron:
- Faces: flat surfaces
- Edges: lines where two faces meet
- Vertices: corners where edges meet

Example: Rectangular Prism
- Faces: 6 (top, bottom, front, back, left, right)
- Edges: 12
- Vertices: 8

Example: Triangular Prism
- Faces: 5 (2 triangular bases + 3 rectangular lateral faces)
- Edges: 9
- Vertices: 6

Example: Square Pyramid
- Faces: 5 (1 square base + 4 triangular faces)
- Edges: 8
- Vertices: 5

Use Euler’s Formula as a check:
$$ V - E + F = 2 $$
(For convex polyhedra)

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#### Problem Type 2: Identify Shape Type
- Prism: Two identical bases connected by rectangles (or parallelograms). Named after base shape (e.g., triangular prism).
- Pyramid: One base, all other faces meet at a single vertex (apex).

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#### Problem Type 3: Surface Area
Surface Area = Sum of areas of all faces

Rectangular Prism:
$$ SA = 2(lw + lh + wh) $$

Triangular Prism:
$$ SA = 2 \times (\text{area of triangle}) + \text{perimeter of triangle} \times \text{height} $$

Square Pyramid:
$$ SA = \text{base area} + 4 \times (\text{area of triangle}) $$

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#### Problem Type 4: Volume
- Prism: $ V = \text{Base Area} \times \text{Height} $
- Pyramid: $ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} $

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How You Can Help Me Solve It

Please provide:
1. A clear description of each figure (e.g., “a triangular prism with base sides 3 cm, 4 cm, 5 cm and height 6 cm”).
2. The specific questions asked for each figure.
3. Any given measurements or labels.

Once I have that, I’ll solve each problem step-by-step and explain the reasoning.

Alternatively, if you can copy-paste the text from the image, I can proceed immediately.