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The image below shows a design based on a square-based prism intersecting a square-based pyramid - Leaving Cert DCG - Question A.3 - 2022
Question A.3
The image below shows a design based on a square-based prism intersecting a square-based pyramid. The drawing on the right shows the incomplete elevation and plan of... show full transcript
Worked Solution & Example Answer:The image below shows a design based on a square-based prism intersecting a square-based pyramid - Leaving Cert DCG - Question A.3 - 2022
Step 1
Using the given X,Y, draw an auxiliary elevation of the intersecting solids.
Answer
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Projections from Plan: Begin by drawing the projections from the plan perpendicularly to the line X,Y. This step involves using the horizontal and vertical reference points marked in the diagram to ensure accurate positioning.
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Transfer of Heights: Next, transfer the heights from the elevation of both the square-based prism and the pyramid to the auxiliary view. This will help establish the vertices of both solids accurately in the auxiliary elevation.
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Complete Auxiliary Elevation: Finally, complete the drawing by carefully outlining the auxiliary elevation of both the prism and the pyramid. Ensure that the points and edges are connected properly to represent the intersection accurately.
Step 2
Complete the elevation and plan of the intersecting solids, showing all lines of interpenetration.
Answer
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Location of Penetration Points on Bottom in Plan and Elevation: Identify and mark the penetration points where the square prism intersects the base of the pyramid. Document these points in both the elevation and plan views.
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Location of Penetration Points on Top in Plan and Elevation: Similarly, find and mark the penetration points at the top of the square prism where it meets the base of the pyramid, and represent them in both views.
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Joining of Points in Plan (Including Hidden Detail): Draw lines to join the identified penetration points in the plan view. Ensure that any hidden details are represented by dashed lines to indicate their obscured nature.
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Joining of Points in Elevation (Including Hidden Detail): In the elevation view, join the identified points similarly to how you did in the plan view, indicating hidden details with dashed lines.