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
Projections from plan perpendicular to X,Y line
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Answer
Begin by determining the projections from the given plan onto the X,Y line. These projections show where the top of the pyramid intersects with the base of the prism. Ensure to align these projections accurately to reflect the geometrical relationship between the two solids.
Step 2
Transfer of heights from elevation to establish vertices in auxiliary view
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Next, transfer the heights from the elevation view to establish the all vertices of both the prism and pyramid in the auxiliary view. This involves measuring the vertical distance between the base of the prism and the apex of the pyramid, accurately reflecting the height dimensions in the auxiliary drawing.
Step 3
Complete auxiliary elevation of prism and pyramid
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Finally, complete the auxiliary elevation by drawing the final outlines of both the prism and pyramid based on the established vertices and projections. Ensure that the lines are clean and precise, with proper annotations if necessary.
Step 4
Location of penetration points on bottom in plan and elevation
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Identify and mark the penetration points where the base of the pyramid intersects the bottom of the prism on both the plan and elevation views.
Step 5
Location of penetration points on top in plan and elevation
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Similarly, find and label the penetration points where the top of the prism intersect with the pyramid on both the plan and elevation.
Step 6
Joining of points in plan, including hidden detail
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Draw lines joining the identified points in the plan view, ensuring to include any hidden details that may not be immediately visible but are essential for a complete understanding of the intersecting solids.
Step 7
Joining of points in elevation, including hidden detail
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Finally, connect the points identified in the elevation view, again ensuring to represent any hidden lines or features to give a full depiction of the intersection.
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