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The 3D graphic below shows a truncated hexagonal based pyramid designed to display a photograph - Leaving Cert DCG - Question A-1 - 2013
Question A-1
The 3D graphic below shows a truncated hexagonal based pyramid designed to display a photograph. The incomplete plan and elevation of a similar pyramid are shown on ... show full transcript
Worked Solution & Example Answer:The 3D graphic below shows a truncated hexagonal based pyramid designed to display a photograph - Leaving Cert DCG - Question A-1 - 2013
Step 1
Complete the plan of the truncated pyramid.
Answer
To complete the plan of the truncated pyramid, follow these steps:
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Identify the base shape: The base of the truncated pyramid is a hexagon. Ensure to represent all six sides in the plan view.
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Establish the cutting plane: Mark the oblique cutting plane VTH on the plan. This will affect the top vertices of the hexagon, so ensure these are correctly truncated.
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Project heights: From the corners of the hexagon, project perpendicular lines upward to indicate the height of the truncated sections. Adjust the plan based on the lengths projected from the elevation.
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Complete the shape: Sketch the completed hexagonal shape that reflects the truncation by connecting the new vertices formed by the intersected lines.
Step 2
Complete the elevation of the truncated pyramid.
Answer
To complete the elevation of the truncated pyramid, you should:
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Draw the vertical projection: Begin by sketching the outline of the elevation on the right side. Start with the base and project vertical lines to define the height of the structure.
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Identify points: Use the points from the plan to locate the vertical projections correctly. Mark points at corresponding heights to indicate the shape of the truncated top.
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Form the upper truncated section: Connect the identified points to create the top outline of the truncated pyramid, ensuring all lines are straight and accurately represent the heights.
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Finalize the elevation: Present the elevation neatly, labelling any significant points such as vertices and ensuring all intended features are visible.