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The 3D graphic below shows an exterior light - Leaving Cert DCG - Question B-2 - 2015
Question B-2
The 3D graphic below shows an exterior light. In the cap of the light, a regular hexagonal prism penetrates a square based pyramid. Fig. B-2 below shows the incompl... show full transcript
Worked Solution & Example Answer:The 3D graphic below shows an exterior light - Leaving Cert DCG - Question B-2 - 2015
Step 1
Draw the axonometric axes X, Y and Z and the equilateral triangle abc, which has a side of 110mm.
Answer
To draw the axonometric axes, start by establishing X, Y, and Z axes at 120° to each other. Place the Z axis vertical, while the X and Y axes will be inclined at 30° from horizontal. For the equilateral triangle abc with a side of 110mm:
- Use the Z axis as the height.
- Construct the points a, b, and c at equal distances of 110mm to create the triangle in the defined orientation.
Step 2
Draw the plan and the incomplete elevation, orientated as shown.
Answer
For the plan view, depict the hexagonal base sitting above the square base. Each edge of the hexagon measures 30mm, with the square measuring 110mm per side.
- Draw the hexagon inscribed in the square base, ensuring proper alignment with the Z axis.
- In the elevation, show the height of the square prism correlating to the elevation variable based on axonometric principles.
Step 3
Complete the drawing showing all lines of interpenetration in the axonometric projection and in the elevation.
Answer
To complete the drawing:
- Identify the penetration points where the hexagonal prism intersects the square pyramid, marking these intersections clearly in both the isometric and elevation views.
- Use construction lines to illustrate the crossover sections.
- Ensure the prism's continuous nature is represented accurately where it passes through the pyramid, using dashed lines for clarity in the elevation view.