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To create the projections of the given prisms based on the exercises:

### 1. **Square Prism Projection**:
   - **Given Data**:
     - Base side: 35 mm
     - Height: 50 mm
     - Resting on HP with an edge touching HP.
     - Axis inclined to HP at 45°.
     - Appears to be inclined to VP at 35°.

   - **Steps for Drawing Projections**:
     1. **Top View**:
        - Start by drawing a square of 35 mm sides on the horizontal plane.
        - Position the square such that one of its edges touches the HP.
     2. **Front View**:
        - Project vertical lines from the corners of the square upward.
        - Draw the height of the prism (50 mm) perpendicular to the base.
        - Tilt the axis at 45° with respect to the HP to represent its inclination.
     3. **Side View**:
        - Use the given inclination to VP (35°) to show the inclination of the prism axis in the side view.
        - Adjust the square base accordingly.

### 2. **Pentagonal Prism Projection**:
   - **Given Data**:
     - Base side: 30 mm
     - Height: 55 mm
     - Resting on HP with a corner of the base touching HP.
     - The edges of the base containing that corner are equally inclined to HP.
     - The base of the prism is inclined to HP at 30°.
     - The axis of the prism appears to be inclined to VP at 50°.

   - **Steps for Drawing Projections**:
     1. **Top View**:
        - Draw a pentagon with 30 mm sides.
        - Position one corner touching the HP.
        - Ensure the edges from this corner are equally inclined to HP.
     2. **Front View**:
        - Project vertical lines from each corner of the pentagon.
        - Show the height of 55 mm perpendicular to the base.
        - Incline the base at 30° to represent its inclination to HP.
     3. **Side View**:
        - Use the 50° inclination to VP to show the prism’s axis in this view.
        - Adjust the shape of the pentagon base according to the projection rules.

These steps outline how you can draw the orthographic projections for both prisms. Do you want a more detailed step-by-step drawing guide for any specific view, or have other questions?

### Related Questions:
1. How do you determine the angle of inclination in orthographic projections?
2. What are the steps to project a 3D object onto a 2D plane?
3. How does the inclination of the axis affect the front and side views?
4. Can you explain how to draw projections for objects with non-rectangular bases?
5. What tools are commonly used for precise orthographic projections?

**Tip:** Use a protractor and a set square for accurate angle measurements and drawing straight lines in projections.

Show a picture of the projections of a square prism and a pentagonal prism as per the given exercise instructions.

Learn how to draw orthographic projections for a square prism inclined to the Horizontal Plane (HP) and Vertical Plane (VP), and a pentagonal prism with its base and axis inclined. This detailed guide includes steps for top, front, and side views, suitable for undergraduate architecture and engineering students.

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